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313008237 = 32110331531
BaseRepresentation
bin10010101010000…
…010000001101101
3210210222110120200
4102222002001231
51120112230422
651020504113
710520345313
oct2252020155
9723873520
10313008237
111507597a3
12889ab039
134cb03999
142d7dc0b3
151c72d2ac
hex12a8206d

313008237 has 12 divisors (see below), whose sum is σ = 452547264. Its totient is φ = 208476360.

The previous prime is 313008217. The next prime is 313008253. The reversal of 313008237 is 732800313.

It is not a de Polignac number, because 313008237 - 216 = 312942701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313008237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313008217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5839 + ... + 25692.

It is an arithmetic number, because the mean of its divisors is an integer number (37712272).

Almost surely, 2313008237 is an apocalyptic number.

It is an amenable number.

313008237 is a deficient number, since it is larger than the sum of its proper divisors (139539027).

313008237 is a wasteful number, since it uses less digits than its factorization.

313008237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32640 (or 32637 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 313008237 is about 17692.0388028062. The cubic root of 313008237 is about 678.9720895490.

The spelling of 313008237 in words is "three hundred thirteen million, eight thousand, two hundred thirty-seven".

Divisors: 1 3 9 1103 3309 9927 31531 94593 283779 34778693 104336079 313008237