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313312132037 is a prime number
BaseRepresentation
bin1001000111100101101…
…10111011101111000101
31002221201021001101212102
410203302312323233011
520113130401211122
6355533354201445
731431111116042
oct4436266735705
91087637041772
10313312132037
11110969592113
125087b723285
1323711a88508
141124311c1c9
15823b219492
hex48f2dbbbc5

313312132037 has 2 divisors, whose sum is σ = 313312132038. Its totient is φ = 313312132036.

The previous prime is 313312132027. The next prime is 313312132061. The reversal of 313312132037 is 730231213313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219235587076 + 94076544961 = 468226^2 + 306719^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313312132037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313312132027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156656066018 + 156656066019.

It is an arithmetic number, because the mean of its divisors is an integer number (156656066019).

Almost surely, 2313312132037 is an apocalyptic number.

It is an amenable number.

313312132037 is a deficient number, since it is larger than the sum of its proper divisors (1).

313312132037 is an equidigital number, since it uses as much as digits as its factorization.

313312132037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 29.

The spelling of 313312132037 in words is "three hundred thirteen billion, three hundred twelve million, one hundred thirty-two thousand, thirty-seven".