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93131313 = 31116211741
BaseRepresentation
bin1011000110100…
…01001000110001
320111020120010220
411203101020301
5142320200223
613124043253
72210413602
oct543211061
9214216126
1093131313
114862aa30
1227233529
13163aa2b2
14c523da9
1582996e3
hex58d1231

93131313 has 16 divisors (see below), whose sum is σ = 135625152. Its totient is φ = 56376000.

The previous prime is 93131309. The next prime is 93131327. The reversal of 93131313 is 31313139.

It is not a de Polignac number, because 93131313 - 22 = 93131309 is a prime.

It is a super-2 number, since 2×931313132 = 17346882922207938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (93131333) 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 15 ways as a sum of consecutive naturals, for example, 52623 + ... + 54363.

It is an arithmetic number, because the mean of its divisors is an integer number (8476572).

Almost surely, 293131313 is an apocalyptic number.

It is an amenable number.

93131313 is a deficient number, since it is larger than the sum of its proper divisors (42493839).

93131313 is a wasteful number, since it uses less digits than its factorization.

93131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376.

The product of its digits is 729, while the sum is 24.

The square root of 93131313 is about 9650.4566213211. The cubic root of 93131313 is about 453.2786272774.

The spelling of 93131313 in words is "ninety-three million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 11 33 1621 1741 4863 5223 17831 19151 53493 57453 2822161 8466483 31043771 93131313