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Number

121,013

  • Positive
  • Odd
  • Prime
  • 6 digits

121,013 is an odd 6-digit integer and a prime number. It has 2 divisors and a digital root of 8.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value121,013
Digit count6
Digit sum8
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation121,013
Distinct prime factors1121,013
Number of divisors2
Sum of divisors σ(n)121,014
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)121,012integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 121,0132 in total

Arithmetic

Previous number121,012
Next number121,014
Double242,026
Cube1,772,132,060,349,197
Square root347.869228303irrational, shown to 9 decimal places
Cube root49.462645695
Negation-121,013
Reciprocal0.0000082636

Representations

Decimal121,013
Binary1110110001011010117 bits
Octal354265
Hexadecimal1D8B5
Base 362LDH
Roman numeralNot defined above 3,999there is no agreed standard notation
In wordsone hundred and twenty-one thousand and thirteen
Ordinalone hundred and twenty-one thousand and thirteenth
Scientific notation1.21013 × 10^5
Engineering notation121.013 × 10^3

Nearest landmarks

Next prime121,019+6
Previous prime121,007−6
Distance to nearest prime0, it is prime
Nearest square below120,409
Nearest square above121,104

Powers & multiples

121,013 to the power 214,644,146,169
121,013 to the power 31,772,132,060,349,197
121,013 to the power 4214,451,017,019,037,376,561
121,013 to the power 525,951,360,922,524,770,049,776,293
First ten multiples121,013, 242,026, 363,039, 484,052, 605,065, 726,078, 847,091, 968,104, 1,089,117, 1,210,130
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)

Divisibility tests

Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 3
Divisible by 6No, remainder 5
Divisible by 7No, remainder 4
Divisible by 8No, remainder 5
Divisible by 9No, remainder 8
Divisible by 10No, remainder 3
Divisible by 11No, remainder 2
Divisible by 12No, remainder 5
Divisible by 100No, remainder 13

Collatz (3n + 1) trajectory

Steps to reach 187the total stopping time
Highest value reached363,0403× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps121,013 → 363,040 → 181,520 → 90,760 → 45,380 → 22,690 → 11,345 → 34,036 → 17,018 → 8,509 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage12,101,300%
121,013% as a decimal1,210.13
121,013% of 100121,013
121,013% of 1,0001,210,130
As a fraction of 100121,013/100

Read another way

As bytes118.177 KiB
As a 24-bit colour#01D8B5

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Also reads as

#121013 (colour)

  • #121013
  • Violet
  • Dark
  • Nearest: Black

#121013 is a violet with RGB values 18, 16, 19 and HSL 280°, 9%, 7%. It is a dark colour, so white text on it reaches 18.9:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#121013#121013
HEX#121013
RGBrgb(18, 16, 19)
RGB (0–1)0.0706, 0.0627, 0.0745
RGB percentages7.1%, 6.3%, 7.5%
HSLhsl(280, 8.6%, 6.9%)
HSV / HSBhsv(280, 15.8%, 7.5%)
CMYK5.3%, 15.8%, 0%, 92.5%naive device-independent conversion; real print needs an ICC profile
24-bit integer1,183,763
CSS custom property--colour: #121013;

Brightness & contrast

Relative luminance0.00546WCAG 2.x, 0 is black and 1 is white
Perceived brightness17 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 18.93:1
Contrast with white18.93:1WCAG normal text: AAA
Contrast with black1.11:1WCAG normal text: Fail
Greyscale equivalent#111111
Inverted#EDEFEC

Colour vision & accessibility

Protanopia#101113no red cones; affects about 1% of men; ΔE 1.3 from the original
Deuteranopia#101113no green cones; the most common form, about 1% of men; ΔE 1.3 from the original
Tritanopia#121011no blue cones; rare, and affects men and women equally; ΔE 1.2 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text18.93:1WCAG large text: AAA
Contrast with black, large text1.11:1WCAG large text: Fail

Named colours

Nearest named CSS colourBlack (#000000)ΔE 5.3, clearly different but related
Hue familyviolet
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#111310
Analogous#111013, #131012
Triadic#131210, #101312
Split complementary#121310, #101310
Tetradic#131010, #111310, #101313

Tints, shades & saturation

Lighter +40%#7B6D82
Lighter +30%#615666
Lighter +20%#463F4A
Lighter +10%#2C272F
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#130C17
Less saturated −25%#121212

Channel breakdown

R18
G16
B19
Red18 (7.1%)
Green16 (6.3%)
Blue19 (7.5%)
Hue280°
Saturation (HSL)8.57%
Lightness6.86%
Dominant channelBlue
Hex per channelR 12 · G 10 · B 13

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Every value on this page was computed from “121013” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.