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Number

2,011

  • Positive
  • Odd
  • Prime
  • 4 digits

2,011 is an odd 4-digit integer and a prime number. It has 2 divisors and a digital root of 4.

Number properties

ParityOddnot divisible by 2
SignPositive
PrimalityPrime
Absolute value2,011
Digit count4
Digit sum4
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2,011
Distinct prime factors12,011
Number of divisors2
Sum of divisors σ(n)2,012
Aliquot sum1sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)2,010integers below n that share no factor with it
SquarefreeYesno repeated prime factor
All divisors1, 2,0112 in total

Arithmetic

Previous number2,010
Next number2,012
Double4,022
Square4,044,121
Square root44.84417465irrational, shown to 9 decimal places
Cube root12.622266833
Negation-2,011
Reciprocal0.000497265

Representations

Decimal2,011
Binary1111101101111 bits
Octal3733
Hexadecimal7DB
Base 361JV
Roman numeralMMXI
In wordstwo thousand and eleven
Ordinaltwo thousand and eleventh
Scientific notation2.011 × 10^3
Engineering notation2.011 × 10^3

Nearest landmarks

Next prime2,017+6
Previous prime2,003−8
Distance to nearest prime0, it is prime
Nearest square below1,936
Nearest square above2,025

Powers & multiples

2,011 to the power 24,044,121
2,011 to the power 38,132,727,331
2,011 to the power 416,354,914,662,641
2,011 to the power 532,889,733,386,571,051
First ten multiples2,011, 4,022, 6,033, 8,044, 10,055, 12,066, 14,077, 16,088, 18,099, 20,110
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)

Divisibility tests

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

Collatz (3n + 1) trajectory

Steps to reach 142the total stopping time
Highest value reached15,2807× the starting value
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps2,011 → 6,034 → 3,017 → 9,052 → 4,526 → 2,263 → 6,790 → 3,395 → 10,186 → 5,093 → …
Last steps… → 32 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage201,100%
2,011% as a decimal20.11
2,011% of 1002,011
2,011% of 1,00020,110
As a fraction of 1002,011/100

Read another way

As bytes1.964 KiB
As a year2011 AD
As a 24-bit colour#0007DB

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Also reads as

2011 (year)

  • Common year
  • 365 days
  • 21st century
  • Rabbit

2011 was a common year of 365 days. It began on a Saturday and ended on a Saturday. Easter Sunday fell on 24 April.

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Structure of the year

Leap yearNonot divisible by 4
Days in the year365
Weeks in the year52ISO 8601 weeks; 28 December is always in the final week
Days in February28
1 January fell on aSaturday
31 December fell on aSaturday
Century21st century
Decade2010s
Chinese zodiacRabbit
Easter Sunday24 April

Months of 2011

Time references

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

Unix timestamp at the start1,293,840,000
Unix timestamp at the end1,325,375,999
Years from now15 years ago
Days from today5,732 days since 1 January

The number 2011

As a number2,011
In wordstwo thousand and eleven
Roman numeralsMMXI

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Also reads as

#220011 (colour)

  • #220011
  • Red
  • Dark
  • Nearest: Black

#220011 is a red with RGB values 34, 0, 17 and HSL 330°, 100%, 7%. It is a dark colour, so white text on it reaches 19.5:1 contrast (AAA for normal text). The nearest named colour is Black.

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Colour values

#220011#220011
HEX#220011
HEX (short)#201
RGBrgb(34, 0, 17)
RGB (0–1)0.1333, 0, 0.0667
RGB percentages13.3%, 0%, 6.7%
HSLhsl(330, 100%, 6.7%)
HSV / HSBhsv(330, 100%, 13.3%)
CMYK0%, 100%, 50%, 86.7%naive device-independent conversion; real print needs an ICC profile
24-bit integer2,228,241
CSS custom property--colour: #220011;

Brightness & contrast

Relative luminance0.00381WCAG 2.x, 0 is black and 1 is white
Perceived brightness19.5 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.51:1
Contrast with white19.51:1WCAG normal text: AAA
Contrast with black1.08:1WCAG normal text: Fail
Greyscale equivalent#080808
Inverted#DDFFEE

Colour vision & accessibility

Protanopia#040812no red cones; affects about 1% of men; ΔE 16 from the original
Deuteranopia#0F0F10no green cones; the most common form, about 1% of men; ΔE 16.3 from the original
Tritanopia#260006no blue cones; rare, and affects men and women equally; ΔE 5.9 from the original
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.51:1WCAG large text: AAA
Contrast with black, large text1.08:1WCAG large text: Fail

Named colours

Nearest named CSS colourBlack (#000000)ΔE 16.84, a distinctly different colour
Hue familyred
CSS keyword usableNo exact keyword

Colour harmonies

Complementary#002211
Analogous#220022, #220000
Triadic#112200, #001122
Split complementary#002200, #002222
Tetradic#222200, #002211, #000022

Tints, shades & saturation

Lighter +40%#EE0077
Lighter +30%#BB005E
Lighter +20%#880044
Lighter +10%#55002B
Darker −10%#000000
Darker −20%#000000
Darker −30%#000000
Darker −40%#000000
More saturated +25%#220011
Less saturated −25%#1E0411

Channel breakdown

R34
G0
B17
Red34 (13.3%)
Green0 (0%)
Blue17 (6.7%)
Hue330°
Saturation (HSL)100%
Lightness6.67%
Dominant channelRed
Hex per channelR 22 · G 00 · B 11

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Every value on this page was computed from “2011” by Nerdulator’s number engine. Nothing here was retrieved from a database of answers or written by a model.