Recognised as Number

1,121

Positive
Odd
Composite
4 digits

1,121 is an odd 4-digit integer and a composite number. It has 4 divisors and a digital root of 5.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value1,121

Digit count4

Digit sum5

Digit product2

Multiplicative persistence1times the digit product can be taken before one digit is left

Digital root5repeated digit sum

PalindromicNoreads differently backwards

Happy numberYessquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation19 × 59

Distinct prime factors219, 59

Number of divisors4

Sum of divisors σ(n)1,200

Aliquot sum79sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)1,044integers below n that share no factor with it

Carmichael function λ(n)522the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 1,044

Möbius function μ(n)+12 distinct prime factors, an even number of them

SquarefreeYesno repeated prime factor

All divisors1, 19, 59, 1,1214 in total

Arithmetic

Previous number1,120

Next number1,122

Double2,242

Half560.5

Square1,256,641

Cube1,408,694,561

Square root33.481338086≈irrational, shown to 9 decimal places

Cube root10.388078055≈

Negation-1,121

Reciprocal0.0008920607≈

Representations

Decimal1,121

Binary1000110000111 bits

Octal2141

Hexadecimal461

Base 36V5

Roman numeralMCXXI

In wordsone thousand, one hundred and twenty-one

Ordinalone thousand, one hundred and twenty-first

Scientific notation1.121 × 10^3

Engineering notation1.121 × 10^3

In other bases

Ternary1112112base 3; the most digit-efficient integer base after e: 7 digits

Quinary13441base 5; one hand: 5 digits

Septenary3161base 7: 4 digits

Nonary1475base 9; each digit is two ternary digits: 4 digits

Duodecimal795base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits

Vigesimal2g1base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits

Sexagesimal18:41base 60; Babylonian, and still how an hour and a circle are divided: 2 digits

Balanced ternary1TTT0TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary10110100001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

0000010001100001

Bit length11 bitsto write the magnitude

Set bits4the population count, or Hamming weight

Zero bits7within that length

Bit parityeven4 set bits, so even; not the same as the number itself being odd

Highest set bitbit 10worth 1,024

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes204 61

Gray code11001010001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

16-bit0000010001100001

32-bit00000000000000000000010001100001

64-bit0000000000000000000000000000000000000000000000000000010001100001

One's complement1111101110011110at 16 bits, every bit flipped

Bits reversed1000011000100000at 16 bits

Rotated left by 10000100011000010at 16 bits, wrapping

Shifted left by 1100011000010= 2,242, no wrap

Shifted right by 11000110000= 560, discarding the low bit

These bits as a double5.53847589 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime1,123+2

Previous prime1,117−4

Distance to nearest prime2

Nearest square below1,089

Nearest square above1,156

Powers & multiples

1,121 to the power 21,256,641

1,121 to the power 31,408,694,561

1,121 to the power 41,579,146,602,881

1,121 to the power 51,770,223,341,829,601

First ten multiples1,121, 2,242, 3,363, 4,484, 5,605, 6,726, 7,847, 8,968, 10,089, 11,210

Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 2

Divisible by 4No, remainder 1

Divisible by 5No, remainder 1

Divisible by 6No, remainder 5

Divisible by 7No, remainder 1

Divisible by 8No, remainder 1

Divisible by 9No, remainder 5

Divisible by 10No, remainder 1

Divisible by 11No, remainder 10

Divisible by 12No, remainder 5

Divisible by 100No, remainder 21

Collatz (3n + 1) trajectory

Steps to reach 144the total stopping time

Highest value reached4,2643× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps1,121 → 3,364 → 1,682 → 841 → 2,524 → 1,262 → 631 → 1,894 → 947 → 2,842 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage112,100%

1,121% as a decimal11.21

1,121% of 1001,121

1,121% of 1,00011,210

As a fraction of 1001,121/100

Read another way

As seconds18 minutes and 41 seconds

As bytes1.095 KiB

As a year1121 AD

As a 24-bit colour#000461

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Neighbouring numbers

Derived from 1,121

Nearby primes

1121 (year)

Common year
365 days
12th century
Ox

1121 was a common year of 365 days. It began on a Saturday and ended on a Saturday. Easter Sunday fell on 17 April.

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Structure of the year

Leap yearNonot divisible by 4

Days in the year365

Days in February28

1 January fell on aSaturday

31 December fell on aSaturday

Century12th century

Decade1120s

Chinese zodiacOx

Easter Sunday17 April

Patterns forced by the calendar

Weekday counts52 of each, plus an extra Saturday365 days is 52 weeks and 1 day, and the remainder starts on the weekday 1 January falls on

Sundays52

Mondays52

Tuesdays52

Wednesdays52

Thursdays52

Fridays52

Saturdays53one of the extras

Friday the 13th1 of them13 May

ISO weeks52an ordinary 52-week year

Same calendar as1110the most recent year whose calendar is identical, so a printed one could be reused

Calendar repeats in1127, 1138, 11496 years later, then again after that; the gap is 6, 11 or 28 years, broken by centuries that skip a leap year

Months of 1121

January31 days, starts Saturday

February28 days, starts Tuesday

March31 days, starts Tuesday

April30 days, starts Friday

May31 days, starts Sunday

June30 days, starts Wednesday

July31 days, starts Friday

August31 days, starts Monday

September30 days, starts Thursday

October31 days, starts Saturday

November30 days, starts Tuesday

December31 days, starts Thursday

Time references

These values depend on today’s date and change daily.

Unix timestamp at the start-26,791,862,400

Unix timestamp at the end-26,760,326,401

Years from now905 years ago

Days from today330,802 days since 1 January

The number 1121

As a number1,121

In wordsone thousand, one hundred and twenty-one

Roman numeralsMCXXI

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Neighbouring years

Key dates

Also reads as

#111122 (colour)

#111122
Blue
Dark
Nearest: Black

#111122 is a blue with RGB values 17, 17, 34 and HSL 240°, 33%, 10%. It is a dark colour, so white text on it reaches 18.6:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#111122#111122

HEX#111122

HEX (short)#112

RGBrgb(17, 17, 34)

RGB (0–1)0.0667, 0.0667, 0.1333

RGB percentages6.7%, 6.7%, 13.3%

HSLhsl(240, 33.3%, 10%)

HSV / HSBhsv(240, 50%, 13.3%)

CMYK50%, 50%, 0%, 86.7%≈naive device-independent conversion; real print needs an ICC profile

24-bit integer1,118,498

CSS custom property--colour: #111122;

Brightness & contrast

Relative luminance0.00636WCAG 2.x, 0 is black and 1 is white

Perceived brightness19.7 of 255ITU-R BT.601 weighting

Light or darkDark

Best text colour on this backgroundWhitecontrast 18.63:1

Contrast with white18.63:1WCAG normal text: AAA

Contrast with black1.13:1WCAG normal text: Fail

Greyscale equivalent#121212

Inverted#EEEEDD

Colour vision & accessibility

Normal vision Protanopia Deuteranopia Tritanopia

Protanopia#0B1323no red cones; affects about 1% of men; ΔE 2.8 from the original

Deuteranopia#0B1222no green cones; the most common form, about 1% of men; ΔE 2.5 from the original

Tritanopia#0C1417no blue cones; rare, and affects men and women equally; ΔE 11 from the original

Distinguishable without hueYesnever rely on hue alone to carry meaning

Contrast with white, large text18.63:1WCAG large text: AAA

Contrast with black, large text1.13:1WCAG large text: Fail

Named colours

Black · ΔE 13.7 Dark slate grey · ΔE 31.3 Dim grey · ΔE 40.6 Dark slateblue · ΔE 44.9 Slate grey · ΔE 47.6 Midnight blue · ΔE 47.7

Nearest named CSS colourBlack (#000000)ΔE 13.69, a distinctly different colour

Hue familyblue

CSS keyword usableNo exact keyword

Colour harmonies

base +30°+90°+120°+180°+210°+240°+270°+330°

Complementary#222211

Analogous#111A22, #1A1122

Triadic#221111, #112211

Split complementary#221A11, #1A2211

Tetradic#22111A, #222211, #11221A

Tints, shades & saturation

+40%+30%+20%+10%base -10%-20%-30%-40%

Lighter +40%#5555AA

Lighter +30%#444488

Lighter +20%#333366

Lighter +10%#222244

Darker −10%#000000

Darker −20%#000000

Darker −30%#000000

Darker −40%#000000

More saturated +25%#0B0B28

Less saturated −25%#17171C

Channel breakdown

R17

G17

B34

Red17 (6.7%)

Green17 (6.7%)

Blue34 (13.3%)

Hue240°

Saturation (HSL)33.33%

Lightness10%

Dominant channelBlue

Hex per channelR 11 · G 11 · B 22

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

Number properties

Factors & divisors

Arithmetic

Representations

In other bases

Bit-level

At each machine width

Nearest landmarks

Powers & multiples

Divisibility tests

Collatz (3n + 1) trajectory

As a percentage & fraction

Read another way

Keep nerding

Neighbouring numbers

Derived from 1,121

Nearby primes

Other readings

1121 (year)

Structure of the year

Patterns forced by the calendar

Months of 1121

Time references

The number 1121

Keep nerding

Neighbouring years

Key dates

#111122 (colour)

Colour values

Brightness & contrast

Colour vision & accessibility

Named colours

Colour harmonies

Tints, shades & saturation

Channel breakdown

Keep nerding

Harmonies

Lighter and darker

Similar named colours

Nerdulate something else