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93312013 is a prime number
BaseRepresentation
bin1011000111111…
…01010000001101
320111120202000111
411203331100031
5142341441023
613132000021
72212065454
oct543752015
9214522014
1093312013
1148743773
1227300011
1316441612
14c56db9b
1582d300d
hex58fd40d

93312013 has 2 divisors, whose sum is σ = 93312014. Its totient is φ = 93312012.

The previous prime is 93312001. The next prime is 93312041. The reversal of 93312013 is 31021339.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73925604 + 19386409 = 8598^2 + 4403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93312013 is a prime.

It is a super-2 number, since 2×933120132 = 17414263540224338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (93312083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46656006 + 46656007.

It is an arithmetic number, because the mean of its divisors is an integer number (46656007).

Almost surely, 293312013 is an apocalyptic number.

It is an amenable number.

93312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

93312013 is an equidigital number, since it uses as much as digits as its factorization.

93312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 93312013 is about 9659.8143356899. The cubic root of 93312013 is about 453.5715990256.

The spelling of 93312013 in words is "ninety-three million, three hundred twelve thousand, thirteen".