Recognised as Number
110
- Positive
- Even
- Composite
- 3 digits
110 is an even 3-digit integer and a composite number. It has 8 divisors and a digital root of 2.
Number properties
ParityEvendivisible by 2
SignPositive
PrimalityComposite
Absolute value110
Digit count3
Digit sum2
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicNoreads differently backwards
Happy numberNosquared-digit sums reach 1
Harshad numberYesdivisible by its own digit sum
Factors & divisors
Prime factorisation2 × 5 × 11
Distinct prime factors32, 5, 11
Number of divisors8
Sum of divisors σ(n)216
Aliquot sum106sum of the proper divisors
ClassificationDeficientthe aliquot sum is less than the number
Euler's totient φ(n)40integers below n that share no factor with it
Carmichael function λ(n)20the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 40
Möbius function μ(n)−13 distinct prime factors, an odd number of them
SquarefreeYesno repeated prime factor
All divisors1, 2, 5, 10, 11, 22, 55, 1108 in total
Arithmetic
Representations
Decimal110
Binary11011107 bits
Octal156
Hexadecimal6E
Base 3632
Roman numeralCX
In wordsone hundred and ten
Ordinalone hundred and tenth
Scientific notation1.1 × 10^2
Engineering notation110
In other bases
Ternary11002base 3; the most digit-efficient integer base after e: 5 digits
Quinary420base 5; one hand: 3 digits
Septenary215base 7: 3 digits
Nonary132base 9; each digit is two ternary digits: 3 digits
Duodecimal92base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits
Vigesimal5abase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal1:50base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternary1101Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110110010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
01101110
Bit length7 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits2within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 6worth 64
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes16e
Gray code1011001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit01101110
16-bit0000000001101110
32-bit00000000000000000000000001101110
64-bit0000000000000000000000000000000000000000000000000000000001101110
One's complement10010001at 8 bits, every bit flipped
Bits reversed01110110at 8 bits
Rotated left by 111011100at 8 bits, wrapping
Shifted left by 111011100= 220, no wrap
Shifted right by 1110111= 55, discarding the low bit
These bits as a double5.4347221 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Nearest landmarks
Powers & multiples
110 to the power 212,100
110 to the power 31,331,000
110 to the power 4146,410,000
110 to the power 516,105,100,000
First ten multiples110, 220, 330, 440, 550, 660, 770, 880, 990, 1,100
Powers of twoBetween 2^6 (64) and 2^7 (128)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4No, remainder 2
Divisible by 5Yes
Divisible by 6No, remainder 2
Divisible by 7No, remainder 5
Divisible by 8No, remainder 6
Divisible by 9No, remainder 2
Divisible by 10Yes
Divisible by 11Yes
Divisible by 12No, remainder 2
Divisible by 100No, remainder 10
Collatz (3n + 1) trajectory
Steps to reach 1113the total stopping time
Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven
First steps110 → 55 → 166 → 83 → 250 → 125 → 376 → 188 → 94 → 47 → …
Last steps… → 5 → 16 → 8 → 4 → 2 → 1
As a percentage & fraction
As a percentage11,000%
110% as a decimal1.1
110% of 100110
110% of 1,0001,100
As a fraction of 100110/100
Read another way
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Derived from 110
Other readings
Also reads as
#111100 (colour)
- #111100
- Yellow
- Dark
- Nearest: Black
#111100 is a yellow with RGB values 17, 17, 0 and HSL 60°, 100%, 3%. It is a dark colour, so white text on it reaches 19:1 contrast (AAA for normal text). The nearest named colour is Black.
Colour values
#111100#111100
HEX#111100
HEX (short)#110
RGBrgb(17, 17, 0)
RGB (0–1)0.0667, 0.0667, 0
RGB percentages6.7%, 6.7%, 0%
HSLhsl(60, 100%, 3.3%)
HSV / HSBhsv(60, 100%, 6.7%)
CMYK0%, 0%, 100%, 93.3%≈naive device-independent conversion; real print needs an ICC profile
24-bit integer1,118,464
CSS custom property--colour: #111100;
Brightness & contrast
Relative luminance0.0052WCAG 2.x, 0 is black and 1 is white
Perceived brightness16 of 255ITU-R BT.601 weighting
Light or darkDark
Best text colour on this backgroundWhitecontrast 19.02:1
Contrast with white19.02:1WCAG normal text: AAA
Contrast with black1.1:1WCAG normal text: Fail
Greyscale equivalent#101010
Inverted#EEEEFF
Colour vision & accessibility
Distinguishable without hueYesnever rely on hue alone to carry meaning
Contrast with white, large text19.02:1WCAG large text: AAA
Contrast with black, large text1.1:1WCAG large text: Fail
Named colours
Hue familyyellow
CSS keyword usableNo exact keyword
Colour harmonies
Complementary#000011
Analogous#110900, #091100
Triadic#001111, #110011
Split complementary#000911, #090011
Tetradic#001109, #000011, #110009
Tints, shades & saturation
Channel breakdown
R17
G17
B0
Red17 (6.7%)
Green17 (6.7%)
Blue0 (0%)
Hue60°
Saturation (HSL)100%
Lightness3.33%
Dominant channelRed and Green
Hex per channelR 11 · G 11 · B 00
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Harmonies
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