Recognised as Number
-129
- Negative
- Odd
- 3 digits
-129 is an odd 3-digit integer and the negative of 129. It has 4 divisors and a digital root of 3.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value129
Digit count3
Digit sum12
Digit product18
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root3repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3 × 43
Distinct prime factors23, 43
Number of divisors4
Sum of divisors σ(n)176
SquarefreeYesno repeated prime factor
All divisors1, 3, 43, 1294 in total
Arithmetic
Representations
Decimal-129
Binary100000018 bits
Octal201
Hexadecimal81
Base 363L
In wordsminus one hundred and twenty-nine
Ordinalminus one hundred and twenty-ninth
Scientific notation-1.29 × 10^2
Engineering notation-129
In other bases
Ternary11210base 3; the most digit-efficient integer base after e: 5 digits
Quinary1004base 5; one hand: 4 digits
Septenary243base 7: 3 digits
Nonary153base 9; each digit is two ternary digits: 3 digits
Duodecimala9base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits
Vigesimal69base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal2:9base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT111T0digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary10000011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111101111111
Bit length8 bitsto write the magnitude
Set bits2the population count, or Hamming weight
Zero bits6within that length
Bit parityeven2 set bits, so even; not the same as the number itself being odd
Highest set bitbit 7worth 128
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes181
Gray code11000001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111101111111two's complement
32-bit11111111111111111111111101111111two's complement
64-bit1111111111111111111111111111111111111111111111111111111101111111two's complement
One's complement0000000010000000at 16 bits, every bit flipped
Bits reversed1111111011111111at 16 bits
Rotated left by 11111111011111111at 16 bits, wrapping
Shifted left by 1-100000010= -258, no wrap
Shifted right by 1-1000001= -64, discarding the low bit
These bits as a double6.37344683 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-129 to the power 216,641
-129 to the power 3-2,146,689
-129 to the power 4276,922,881
-129 to the power 5-35,723,051,649
First ten multiples-129, -258, -387, -516, -645, -774, -903, -1,032, -1,161, -1,290
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 1
Divisible by 9No, remainder 3
Divisible by 10No, remainder 9
Divisible by 11No, remainder 8
Divisible by 12No, remainder 9
Divisible by 100No, remainder 29
As a percentage & fraction
As a percentage-12,900%
-129% as a decimal-1.29
-129% of 100-129
-129% of 1,000-1,290
As a fraction of 100-129/100
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