| Base | Representation |
|---|---|
| bin | 10010100111011… |
| … | …000010101110000 |
| 3 | 210202200011011120 |
| 4 | 102213120111300 |
| 5 | 1114423010300 |
| 6 | 50553542240 |
| 7 | 10511422053 |
| oct | 2247302560 |
| 9 | 722604146 |
| 10 | 312313200 |
| 11 | 150324591 |
| 12 | 88714980 |
| 13 | 4c91c514 |
| 14 | 2d69aa9a |
| 15 | 1c6423a0 |
| hex | 129d8570 |
312313200 has 120 divisors (see below), whose sum is σ = 1005636528. Its totient is φ = 82851840.
The previous prime is 312313181. The next prime is 312313223. The reversal of 312313200 is 2313213.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 312313200.
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 279042 + ... + 280158.
Almost surely, 2312313200 is an apocalyptic number.
312313200 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 312313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502818264).
312313200 is an abundant number, since it is smaller than the sum of its proper divisors (693323328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312313200 is a wasteful number, since it uses less digits than its factorization.
312313200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1371 (or 1360 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 312313200 is about 17672.3852379921. The cubic root of 312313200 is about 678.4691630084.
Adding to 312313200 its reverse (2313213), we get a palindrome (314626413).
It can be divided in two parts, 3 and 12313200, that added together give a triangular number (12313203 = T4962).
The spelling of 312313200 in words is "three hundred twelve million, three hundred thirteen thousand, two hundred".
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