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331308970920 = 23325920302697
BaseRepresentation
bin1001101001000111000…
…11011011001110101000
31011200011111021112122200
410310203203123032220
520412010044032140
6412111245020200
732636100534054
oct4644343331650
91150144245580
10331308970920
11118564305584
1254262854660
132531c44ccc5
141206d364c64
15894119b030
hex4d238db3a8

331308970920 has 48 divisors (see below), whose sum is σ = 1076754156660. Its totient is φ = 88349058816.

The previous prime is 331308970903. The next prime is 331308970943. The reversal of 331308970920 is 29079803133.

331308970920 is a `hidden beast` number, since 331 + 308 + 9 + 7 + 0 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 325385821476 + 5923149444 = 570426^2 + 76962^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 460150989 + ... + 460151708.

Almost surely, 2331308970920 is an apocalyptic number.

331308970920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331308970920 is an abundant number, since it is smaller than the sum of its proper divisors (745445185740).

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

331308970920 is a wasteful number, since it uses less digits than its factorization.

331308970920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920302714 (or 920302707 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 331308970920 in words is "three hundred thirty-one billion, three hundred eight million, nine hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 920302697 1840605394 2760908091 3681210788 4601513485 5521816182 7362421576 8282724273 9203026970 11043632364 13804540455 16565448546 18406053940 22087264728 27609080910 33130897092 36812107880 41413621365 55218161820 66261794184 82827242730 110436323640 165654485460 331308970920