Recognised as Number
-120,001
- Negative
- Odd
- 6 digits
-120,001 is an odd 6-digit integer and the negative of 120,001. It has 12 divisors and a digital root of 4.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value120,001
Digit count6
Digit sum4
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 7^2 × 31 × 79
Distinct prime factors37, 31, 79
Number of divisors12
Sum of divisors σ(n)145,920
SquarefreeNohas a repeated prime factor
All divisors1, 7, 31, 49, 79, 217, 553, 1,519, 2,449, 3,871, 17,143, 120,00112 in total
Arithmetic
Representations
Decimal-120,001
Binary1110101001100000117 bits
Octal352301
Hexadecimal1D4C1
Base 362KLD
In wordsminus one hundred and twenty thousand and one
Ordinalminus one hundred and twenty thousand and first
Scientific notation-1.20001 × 10^5
Engineering notation-120.001 × 10^3
In other bases
Ternary20002121111base 3; the most digit-efficient integer base after e: 11 digits
Quinary12320001base 5; one hand: 8 digits
Septenary1006600base 7: 7 digits
Nonary202544base 9; each digit is two ternary digits: 6 digits
Duodecimal59541base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimalf001base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal33:20:1base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT100T011TTTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100111111101000011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111100010101100111111
Bit length17 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits9within that length
Bit parityeven8 set bits, so even; not the same as the number itself being odd
Highest set bitbit 16worth 65,536
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes301 d4 c1
Gray code10011111010100001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111100010101100111111two's complement
64-bit1111111111111111111111111111111111111111111111100010101100111111two's complement
One's complement00000000000000011101010011000000at 32 bits, every bit flipped
Bits reversed11111100110101000111111111111111at 32 bits
Rotated left by 111111111111111000101011001111111at 32 bits, wrapping
Shifted left by 1-111010100110000010= -240,002, no wrap
Shifted right by 1-1110101001100001= -60,000, discarding the low bit
These bits as a double5.92883716 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-120,001 to the power 214,400,240,001
-120,001 to the power 3-1,728,043,200,360,001
-120,001 to the power 4207,366,912,086,400,480,001
-120,001 to the power 5-24,884,236,817,280,144,000,600,001
First ten multiples-120,001, -240,002, -360,003, -480,004, -600,005, -720,006, -840,007, -960,008, -1,080,009, -1,200,010
Powers of twoBetween 2^16 (65,536) and 2^17 (131,072)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 1
Divisible by 7Yes
Divisible by 8No, remainder 1
Divisible by 9No, remainder 4
Divisible by 10No, remainder 1
Divisible by 11No, remainder 2
Divisible by 12No, remainder 1
Divisible by 100No, remainder 1
As a percentage & fraction
As a percentage-12,000,100%
-120,001% as a decimal-1,200.01
-120,001% of 100-120,001
-120,001% of 1,000-1,200,010
As a fraction of 100-120,001/100
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