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313013234331 = 3372339708061
BaseRepresentation
bin1001000111000010000…
…10101110101010011011
31002220221102121211022000
410203201002232222123
520112022341444311
6355443555532043
731420521410130
oct4434102565233
91086842554260
10313013234331
111108258a0916
12507b75ba023
1323694b85375
1411215554587
15821ed77056
hex48e10aea9b

313013234331 has 32 divisors (see below), whose sum is σ = 530196825600. Its totient is φ = 178787982240.

The previous prime is 313013234329. The next prime is 313013234353. The reversal of 313013234331 is 133432310313.

313013234331 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 1 + 323 + 4 + 331 = 666.

It is not a de Polignac number, because 313013234331 - 21 = 313013234329 is a prime.

It is a super-2 number, since 2×3130132343312 (a number of 24 digits) contains 22 as substring.

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 = 313013234295 and 313013234304.

It is not an unprimeable number, because it can be changed into a prime (313013236331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88041 + ... + 796101.

It is an arithmetic number, because the mean of its divisors is an integer number (16568650800).

Almost surely, 2313013234331 is an apocalyptic number.

313013234331 is a deficient number, since it is larger than the sum of its proper divisors (217183591269).

313013234331 is a wasteful number, since it uses less digits than its factorization.

313013234331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710416 (or 710410 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 313013234331 its reverse (133432310313), we get a palindrome (446445544644).

The spelling of 313013234331 in words is "three hundred thirteen billion, thirteen million, two hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 2339 7017 16373 21051 49119 63153 147357 442071 708061 2124183 4956427 6372549 14869281 19117647 44607843 133823529 1656154679 4968464037 11593082753 14905392111 34779248259 44716176333 104337744777 313013234331