| Base | Representation |
|---|---|
| bin | 1001000101001101000… |
| … | …00001110111110100000 |
| 3 | 1002211101222120220021100 |
| 4 | 10202212200032332200 |
| 5 | 20103014431104440 |
| 6 | 355202313354400 |
| 7 | 31354264462026 |
| oct | 4424640167640 |
| 9 | 1084358526240 |
| 10 | 312031113120 |
| 11 | 1103714796a1 |
| 12 | 50582708a00 |
| 13 | 23569567c5c |
| 14 | 11160d3c716 |
| 15 | 81b3a28230 |
| hex | 48a680efa0 |
312031113120 has 288 divisors, whose sum is σ = 1132385501520. Its totient is φ = 77970309120.
The previous prime is 312031113071. The next prime is 312031113127. The reversal of 312031113120 is 21311130213.
312031113120 is a `hidden beast` number, since 312 + 0 + 31 + 11 + 312 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 222599014416 + 89432098704 = 471804^2 + 299052^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×3120311131202 (a number of 24 digits) contains 22 as substring.
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 = 312031113093 and 312031113102.
It is not an unprimeable number, because it can be changed into a prime (312031113127) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5578090 + ... + 5633750.
Almost surely, 2312031113120 is an apocalyptic number.
312031113120 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 312031113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566192750760).
312031113120 is an abundant number, since it is smaller than the sum of its proper divisors (820354388400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312031113120 is a wasteful number, since it uses less digits than its factorization.
312031113120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55928 (or 55917 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 312031113120 its reverse (21311130213), we get a palindrome (333342243333).
The spelling of 312031113120 in words is "three hundred twelve billion, thirty-one million, one hundred thirteen thousand, one hundred twenty".
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