Recognised as Number
-1,022,121
- Negative
- Odd
- Perfect square
- 7 digits
-1,022,121 is an odd 7-digit integer and the negative of 1,022,121. It has 9 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,022,121
Digit count7
Digit sum9
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Perfect squareYes, 1,011²
Factors & divisors
Prime factorisation−1 × 3^2 × 337^2
Distinct prime factors23, 337
Number of divisors9
Sum of divisors σ(n)1,480,791
SquarefreeNohas a repeated prime factor
All divisors1, 3, 9, 337, 1,011, 3,033, 113,569, 340,707, 1,022,1219 in total
Arithmetic
Previous number-1,022,122
Next number-1,022,120
Double-2,044,242
Half-511,060.5
Square1,044,731,338,641
Cube-1,067,841,840,583,077,561
Cube root-100.73199542≈
Negation1,022,121
Reciprocal-9.78357748 × 10^-7≈
Representations
Decimal-1,022,121
Binary1111100110001010100120 bits
Octal3714251
HexadecimalF98A9
Base 36LWO9
In wordsminus one million, twenty-two thousand, one hundred and twenty-one
Ordinalminus one million, twenty-two thousand, one hundred and twenty-first
Scientific notation-1.022121 × 10^6
Engineering notation-1.022121 × 10^6
In other bases
Ternary1220221002100base 3; the most digit-efficient integer base after e: 13 digits
Quinary230201441base 5; one hand: 9 digits
Septenary11454642base 7: 8 digits
Nonary1827070base 9; each digit is two ternary digits: 7 digits
Duodecimal413609base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 6 digits
Vigesimal67f61base 20; hands and feet, and the Mayan and Yoruba systems: 5 digits
Sexagesimal4:43:55:21base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryT101T01T0T1T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1100011011100010101011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111100000110011101010111
Bit length20 bitsto write the magnitude
Set bits11the population count, or Hamming weight
Zero bits9within that length
Bit parityodd11 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 19worth 524,288
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes30f 98 a9
Gray code10000101010011111101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111100000110011101010111two's complement
64-bit1111111111111111111111111111111111111111111100000110011101010111two's complement
One's complement00000000000011111001100010101000at 32 bits, every bit flipped
Bits reversed11101010111001100000111111111111at 32 bits
Rotated left by 111111111111000001100111010101111at 32 bits, wrapping
Shifted left by 1-111110011000101010010= -2,044,242, no wrap
Shifted right by 1-1111100110001010101= -511,060, discarding the low bit
These bits as a double5.04994872 × 10^-318≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,022,121 to the power 21,044,731,338,641
-1,022,121 to the power 3-1,067,841,840,583,077,561
-1,022,121 to the power 41,091,463,569,938,615,819,726,881
-1,022,121 to the power 5-1,115,607,835,569,227,940,275,059,334,601
First ten multiples-1,022,121, -2,044,242, -3,066,363, -4,088,484, -5,110,605, -6,132,726, -7,154,847, -8,176,968, -9,199,089, -10,221,210
Powers of twoBetween 2^19 (524,288) and 2^20 (1,048,576)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5No, remainder 1
Divisible by 6No, remainder 3
Divisible by 7No, remainder 2
Divisible by 8No, remainder 1
Divisible by 9Yes
Divisible by 10No, remainder 1
Divisible by 11No, remainder 1
Divisible by 12No, remainder 9
Divisible by 100No, remainder 21
As a percentage & fraction
As a percentage-102,212,100%
-1,022,121% as a decimal-10,221.21
-1,022,121% of 100-1,022,121
-1,022,121% of 1,000-10,221,210
As a fraction of 100-1,022,121/100
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