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313213033117 is a prime number
BaseRepresentation
bin1001000111011001111…
…00111001101010011101
31002221110100120122201001
410203230330321222131
520112430014024432
6355515454150301
731425465565645
oct4435474715235
91087410518631
10313213033117
11110918656686
12508524b2391
13236c739bbba
1411233cc3525
1582326919e7
hex48ecf39a9d

313213033117 has 2 divisors, whose sum is σ = 313213033118. Its totient is φ = 313213033116.

The previous prime is 313213033051. The next prime is 313213033127. The reversal of 313213033117 is 711330312313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295637963076 + 17575070041 = 543726^2 + 132571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313213033117 is a prime.

It is a super-2 number, since 2×3132130331172 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313213033127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156606516558 + 156606516559.

It is an arithmetic number, because the mean of its divisors is an integer number (156606516559).

Almost surely, 2313213033117 is an apocalyptic number.

It is an amenable number.

313213033117 is a deficient number, since it is larger than the sum of its proper divisors (1).

313213033117 is an equidigital number, since it uses as much as digits as its factorization.

313213033117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 28.

The spelling of 313213033117 in words is "three hundred thirteen billion, two hundred thirteen million, thirty-three thousand, one hundred seventeen".