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310311201017 is a prime number
BaseRepresentation
bin1001000001111111111…
…11010010100011111001
31002122222010021022102002
410200333333102203321
520041004131413032
6354315513550345
731263541455026
oct4407777224371
91078863238362
10310311201017
1110a669646234
12501827153b5
132335413929c
141103a75254d
158112a3e862
hex483ffd28f9

310311201017 has 2 divisors, whose sum is σ = 310311201018. Its totient is φ = 310311201016.

The previous prime is 310311200959. The next prime is 310311201043. The reversal of 310311201017 is 710102113013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165412210681 + 144898990336 = 406709^2 + 380656^2 .

It is a cyclic number.

It is not a de Polignac number, because 310311201017 - 220 = 310310152441 is a prime.

It is a super-2 number, since 2×3103112010172 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 310311201017.

It is not a weakly prime, because it can be changed into another prime (310311201217) 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, 155155600508 + 155155600509.

It is an arithmetic number, because the mean of its divisors is an integer number (155155600509).

Almost surely, 2310311201017 is an apocalyptic number.

It is an amenable number.

310311201017 is a deficient number, since it is larger than the sum of its proper divisors (1).

310311201017 is an equidigital number, since it uses as much as digits as its factorization.

310311201017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

The spelling of 310311201017 in words is "three hundred ten billion, three hundred eleven million, two hundred one thousand, seventeen".