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313310131220 = 22515665506561
BaseRepresentation
bin1001000111100101011…
…11010011010000010100
31002221201010021202021002
410203302233103100110
520113124343144340
6355533243242432
731431055113542
oct4436257232024
91087633252232
10313310131220
11110968445949
125087ab19418
13237115378b8
1411242b5ad92
15823ae71715
hex48f2bd3414

313310131220 has 12 divisors (see below), whose sum is σ = 657951275604. Its totient is φ = 125324052480.

The previous prime is 313310131201. The next prime is 313310131229. The reversal of 313310131220 is 22131013313.

It can be written as a sum of positive squares in 2 ways, for example, as 241399272976 + 71910858244 = 491324^2 + 268162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 15665506561 = 313310131220 / (3 + 1 + 3 + 3 + 1 + 0 + 1 + 3 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 313310131192 and 313310131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313310131229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7832753261 + ... + 7832753300.

It is an arithmetic number, because the mean of its divisors is an integer number (54829272967).

Almost surely, 2313310131220 is an apocalyptic number.

It is an amenable number.

313310131220 is an abundant number, since it is smaller than the sum of its proper divisors (344641144384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313310131220 is a wasteful number, since it uses less digits than its factorization.

313310131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15665506570 (or 15665506568 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 313310131220 its reverse (22131013313), we get a palindrome (335441144533).

The spelling of 313310131220 in words is "three hundred thirteen billion, three hundred ten million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 15665506561 31331013122 62662026244 78327532805 156655065610 313310131220