| Base | Representation |
|---|---|
| bin | 111011101110… |
| … | …0100111000000 |
| 3 | 2011220211102120 |
| 4 | 1313130213000 |
| 5 | 31003443240 |
| 6 | 3035044240 |
| 7 | 530102364 |
| oct | 167344700 |
| 9 | 64824376 |
| 10 | 31312320 |
| 11 | 16747456 |
| 12 | a5a0680 |
| 13 | 6644400 |
| 14 | 42312a4 |
| 15 | 2b37ad0 |
| hex | 1ddc9c0 |
31312320 has 168 divisors, whose sum is σ = 108210096. Its totient is φ = 7667712.
The previous prime is 31312301. The next prime is 31312327. The reversal of 31312320 is 2321313.
It is a super-2 number, since 2×313123202 = 1960922767564800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a nialpdrome in base 13.
It is a zygodrome in base 13.
It is a self number, because there is not a number n which added to its sum of digits gives 31312320.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31312327) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 162144 + ... + 162336.
Almost surely, 231312320 is an apocalyptic number.
31312320 is a gapful number since it is divisible by the number (30) 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 31312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54105048).
31312320 is an abundant number, since it is smaller than the sum of its proper divisors (76897776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31312320 is a wasteful number, since it uses less digits than its factorization.
31312320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 239 (or 216 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 31312320 is about 5595.7412377629. The cubic root of 31312320 is about 315.1895055212.
Adding to 31312320 its reverse (2321313), we get a palindrome (33633633).
The spelling of 31312320 in words is "thirty-one million, three hundred twelve thousand, three hundred twenty".
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