Recognised as Number
-191
- Negative
- Odd
- 3 digits
-191 is an odd 3-digit integer and the negative of 191. It has 2 divisors and a digital root of 2.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value191
Digit count3
Digit sum11
Digit product9
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root2repeated digit sum
PalindromicYesreads the same backwards
Factors & divisors
Prime factorisation−1 × 191
Distinct prime factors1191
Number of divisors2
Sum of divisors σ(n)192
SquarefreeYesno repeated prime factor
All divisors1, 1912 in total
Arithmetic
Representations
Decimal-191
Binary101111118 bits
Octal277
HexadecimalBF
Base 365B
In wordsminus one hundred and ninety-one
Ordinalminus one hundred and ninety-first
Scientific notation-1.91 × 10^2
Engineering notation-191
In other bases
Ternary21002base 3; the most digit-efficient integer base after e: 5 digits
Quinary1231base 5; one hand: 4 digits
Septenary362base 7: 3 digits
Nonary232base 9; each digit is two ternary digits: 3 digits
Duodecimal13bbase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal9bbase 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal3:11base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1T0T1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1101000001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111101000001
Bit length8 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits1within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 7worth 128
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes1bf
Gray code11100000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111101000001two's complement
32-bit11111111111111111111111101000001two's complement
64-bit1111111111111111111111111111111111111111111111111111111101000001two's complement
One's complement0000000010111110at 16 bits, every bit flipped
Bits reversed1000001011111111at 16 bits
Rotated left by 11111111010000011at 16 bits, wrapping
Shifted left by 1-101111110= -382, no wrap
Shifted right by 1-1100000= -95, discarding the low bit
These bits as a double9.43665384 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-191 to the power 236,481
-191 to the power 3-6,967,871
-191 to the power 41,330,863,361
-191 to the power 5-254,194,901,951
First ten multiples-191, -382, -573, -764, -955, -1,146, -1,337, -1,528, -1,719, -1,910
Powers of twoBetween 2^7 (128) and 2^8 (256)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 3
Divisible by 5No, remainder 1
Divisible by 6No, remainder 5
Divisible by 7No, remainder 2
Divisible by 8No, remainder 7
Divisible by 9No, remainder 2
Divisible by 10No, remainder 1
Divisible by 11No, remainder 4
Divisible by 12No, remainder 11
Divisible by 100No, remainder 91
As a percentage & fraction
As a percentage-19,100%
-191% as a decimal-1.91
-191% of 100-191
-191% of 1,000-1,910
As a fraction of 100-191/100
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