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57307331 is a prime number
BaseRepresentation
bin1101101010011…
…1000011000011
310222211111212202
43122213003003
5104132313311
65404143415
71264050524
oct332470303
9128744782
1057307331
112a391934
1217237b6b
13bb46483
14787a84b
15506ee3b
hex36a70c3

57307331 has 2 divisors, whose sum is σ = 57307332. Its totient is φ = 57307330.

The previous prime is 57307307. The next prime is 57307333. The reversal of 57307331 is 13370375.

57307331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 57307331 - 210 = 57306307 is a prime.

It is a super-2 number, since 2×573073312 = 6568260372687122, which contains 22 as substring.

Together with 57307333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 57307294 and 57307303.

It is not a weakly prime, because it can be changed into another prime (57307333) 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 as a sum of consecutive naturals, namely, 28653665 + 28653666.

It is an arithmetic number, because the mean of its divisors is an integer number (28653666).

Almost surely, 257307331 is an apocalyptic number.

57307331 is a deficient number, since it is larger than the sum of its proper divisors (1).

57307331 is an equidigital number, since it uses as much as digits as its factorization.

57307331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6615, while the sum is 29.

The square root of 57307331 is about 7570.1605663288. The cubic root of 57307331 is about 385.5405483997.

The spelling of 57307331 in words is "fifty-seven million, three hundred seven thousand, three hundred thirty-one".