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311330131232 = 2514965295749
BaseRepresentation
bin1001000011111001011…
…10001100110100100000
31002202121010120022220012
410201330232030310200
520100101003144412
6355004553104052
731331023311041
oct4417456146440
91082533508805
10311330131232
1111004181961a
12504079b8028
1323487273983
14110d5bca8c8
15817220ec22
hex487cb8cd20

311330131232 has 24 divisors (see below), whose sum is σ = 617044837500. Its totient is φ = 154620331264.

The previous prime is 311330131219. The next prime is 311330131253. The reversal of 311330131232 is 232131033113.

It can be written as a sum of positive squares in 2 ways, for example, as 304787909776 + 6542221456 = 552076^2 + 80884^2 .

It is a super-2 number, since 2×3113301312322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311330131198 and 311330131207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32643107 + ... + 32652642.

Almost surely, 2311330131232 is an apocalyptic number.

311330131232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311330131232 is a deficient number, since it is larger than the sum of its proper divisors (305714706268).

311330131232 is a wasteful number, since it uses less digits than its factorization.

311330131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65295908 (or 65295900 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 311330131232 its reverse (232131033113), we get a palindrome (543461164345).

The spelling of 311330131232 in words is "three hundred eleven billion, three hundred thirty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 149 298 596 1192 2384 4768 65295749 130591498 261182996 522365992 1044731984 2089463968 9729066601 19458133202 38916266404 77832532808 155665065616 311330131232