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331639137 = 3312282931
BaseRepresentation
bin10011110001000…
…110100101100001
3212010001000101000
4103301012211201
51134344423022
652524102213
711134612644
oct2361064541
9763030330
10331639137
11160224435
1293094969
1353927b9b
143208ba5b
151e1ad6ac
hex13c46961

331639137 has 8 divisors (see below), whose sum is σ = 491317280. Its totient is φ = 221092740.

The previous prime is 331639123. The next prime is 331639163. The reversal of 331639137 is 731936133.

331639137 is a `hidden beast` number, since 3 + 3 + 1 + 639 + 13 + 7 = 666.

It is not a de Polignac number, because 331639137 - 212 = 331635041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331639237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6141439 + ... + 6141492.

It is an arithmetic number, because the mean of its divisors is an integer number (61414660).

Almost surely, 2331639137 is an apocalyptic number.

It is an amenable number.

331639137 is a deficient number, since it is larger than the sum of its proper divisors (159678143).

331639137 is a wasteful number, since it uses less digits than its factorization.

331639137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12282940 (or 12282934 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The square root of 331639137 is about 18210.9620009488. The cubic root of 331639137 is about 692.1845884276.

It can be divided in two parts, 331639 and 137, that added together give a 4-th power (331776 = 244).

The spelling of 331639137 in words is "three hundred thirty-one million, six hundred thirty-nine thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 12282931 36848793 110546379 331639137