Base | Representation |
---|---|
bin | 1110000110100110010001… |
… | …10100101011100101011101 |
3 | 11001210211001121020210201000 |
4 | 13003103020310223211131 |
5 | 13031104142440132313 |
6 | 145543105110540513 |
7 | 6350421605046612 |
oct | 703231064534535 |
9 | 131724047223630 |
10 | 31013033130333 |
11 | 997760a76a741 |
12 | 358a64a067739 |
13 | 143c693909517 |
14 | 793078704509 |
15 | 38bac0838673 |
hex | 1c34c8d2b95d |
31013033130333 has 32 divisors (see below), whose sum is σ = 45993930278400. Its totient is φ = 20653445216448.
The previous prime is 31013033130319. The next prime is 31013033130353. The reversal of 31013033130333 is 33303133031013.
31013033130333 is a `hidden beast` number, since 3 + 1 + 0 + 13 + 0 + 3 + 313 + 0 + 333 = 666.
It is not a de Polignac number, because 31013033130333 - 221 = 31013031033181 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 31013033130297 and 31013033130306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31013033130353) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477980988 + ... + 478045866.
It is an arithmetic number, because the mean of its divisors is an integer number (1437310321200).
Almost surely, 231013033130333 is an apocalyptic number.
It is an amenable number.
31013033130333 is a deficient number, since it is larger than the sum of its proper divisors (14980897148067).
31013033130333 is a wasteful number, since it uses less digits than its factorization.
31013033130333 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83378 (or 83372 counting only the distinct ones).
The product of its (nonzero) digits is 6561, while the sum is 27.
Adding to 31013033130333 its reverse (33303133031013), we get a palindrome (64316166161346).
The spelling of 31013033130333 in words is "thirty-one trillion, thirteen billion, thirty-three million, one hundred thirty thousand, three hundred thirty-three".
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