| Base | Representation |
|---|---|
| bin | 100111000110100… |
| … | …0000101000101000 |
| 3 | 10101102211012100200 |
| 4 | 1032031000220220 |
| 5 | 10141340031240 |
| 6 | 334105232200 |
| 7 | 44341046013 |
| oct | 11615005050 |
| 9 | 3342735320 |
| 10 | 1312033320 |
| 11 | 613677064 |
| 12 | 307492660 |
| 13 | 17ba8c1a0 |
| 14 | c637437a |
| 15 | 7a2ba930 |
| hex | 4e340a28 |
1312033320 has 192 divisors, whose sum is σ = 4716850320. Its totient is φ = 314191872.
The previous prime is 1312033309. The next prime is 1312033379. The reversal of 1312033320 is 233302131.
1312033320 is a `hidden beast` number, since 1 + 312 + 0 + 33 + 320 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 193933476 + 1118099844 = 13926^2 + 33438^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1312033293 and 1312033302.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169372 + ... + 176948.
Almost surely, 21312033320 is an apocalyptic number.
1312033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1312033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358425160).
1312033320 is an abundant number, since it is smaller than the sum of its proper divisors (3404817000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1312033320 is a wasteful number, since it uses less digits than its factorization.
1312033320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7644 (or 7637 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 1312033320 is about 36222.0004969356. Note that the first 3 decimals coincide. The cubic root of 1312033320 is about 1094.7500023511.
Adding to 1312033320 its reverse (233302131), we get a palindrome (1545335451).
The spelling of 1312033320 in words is "one billion, three hundred twelve million, thirty-three thousand, three hundred twenty".
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