Recognised as Number
-1,010
- Negative
- Even
- 4 digits
-1,010 is an even 4-digit integer and the negative of 1,010. It has 8 divisors and a digital root of 2.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value1,010
Digit count4
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
Factors & divisors
Prime factorisation−1 × 2 × 5 × 101
Distinct prime factors32, 5, 101
Number of divisors8
Sum of divisors σ(n)1,836
SquarefreeYesno repeated prime factor
All divisors1, 2, 5, 10, 101, 202, 505, 1,0108 in total
Arithmetic
Representations
Decimal-1,010
Binary111111001010 bits
Octal1762
Hexadecimal3F2
Base 36S2
In wordsminus one thousand and ten
Ordinalminus one thousand and tenth
Scientific notation-1.01 × 10^3
Engineering notation-1.01 × 10^3
In other bases
Ternary1101102base 3; the most digit-efficient integer base after e: 7 digits
Quinary13020base 5; one hand: 5 digits
Septenary2642base 7: 4 digits
Nonary1342base 9; each digit is two ternary digits: 4 digits
Duodecimal702base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal2aabase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal16:50base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT0TTT1digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110000010010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110000001110
Bit length10 bitsto write the magnitude
Set bits7the population count, or Hamming weight
Zero bits3within that length
Bit parityodd7 set bits, so odd; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes203 f2
Gray code1000001011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110000001110two's complement
32-bit11111111111111111111110000001110two's complement
64-bit1111111111111111111111111111111111111111111111111111110000001110two's complement
One's complement0000001111110001at 16 bits, every bit flipped
Bits reversed0111000000111111at 16 bits
Rotated left by 11111100000011101at 16 bits, wrapping
Shifted left by 1-11111100100= -2,020, no wrap
Shifted right by 1-111111001= -505, discarding the low bit
These bits as a double4.99006302 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,010 to the power 21,020,100
-1,010 to the power 3-1,030,301,000
-1,010 to the power 41,040,604,010,000
-1,010 to the power 5-1,051,010,050,100,000
First ten multiples-1,010, -2,020, -3,030, -4,040, -5,050, -6,060, -7,070, -8,080, -9,090, -10,100
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
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 2
Divisible by 8No, remainder 2
Divisible by 9No, remainder 2
Divisible by 10Yes
Divisible by 11No, remainder 9
Divisible by 12No, remainder 2
Divisible by 100No, remainder 10
As a percentage & fraction
As a percentage-101,000%
-1,010% as a decimal-10.1
-1,010% of 100-1,010
-1,010% of 1,000-10,100
As a fraction of 100-1,010/100
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