| Base | Representation |
|---|---|
| bin | 10010101010011… |
| … | …101111010000000 |
| 3 | 210211012021020010 |
| 4 | 102222131322000 |
| 5 | 1120124404212 |
| 6 | 51023144520 |
| 7 | 10521332250 |
| oct | 2252357200 |
| 9 | 724167203 |
| 10 | 313122432 |
| 11 | 150827577 |
| 12 | 88a45140 |
| 13 | 4cb4395c |
| 14 | 2d82b960 |
| 15 | 1c75203c |
| hex | 12a9de80 |
313122432 has 128 divisors (see below), whose sum is σ = 1000742400. Its totient is φ = 84741120.
The previous prime is 313122427. The next prime is 313122443. The reversal of 313122432 is 234221313.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 313122399 and 313122408.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48007 + ... + 54137.
It is an arithmetic number, because the mean of its divisors is an integer number (7818300).
Almost surely, 2313122432 is an apocalyptic number.
313122432 is a gapful number since it is divisible by the number (32) 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 313122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500371200).
313122432 is an abundant number, since it is smaller than the sum of its proper divisors (687619968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313122432 is a wasteful number, since it uses less digits than its factorization.
313122432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6174 (or 6162 counting only the distinct ones).
The product of its digits is 864, while the sum is 21.
The square root of 313122432 is about 17695.2658075543. The cubic root of 313122432 is about 679.0546494536.
Adding to 313122432 its reverse (234221313), we get a palindrome (547343745).
The spelling of 313122432 in words is "three hundred thirteen million, one hundred twenty-two thousand, four hundred thirty-two".
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