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311110007017 is a prime number
BaseRepresentation
bin1001000011011111001…
…10011111100011101001
31002202000210100212020111
410201233212133203221
520044123130211032
6354531051054321
731322411266345
oct4415746374351
91082023325214
10311110007017
1110aa39540a87
12503661413a1
1323450791864
14110b488a625
15815cc2cc47
hex486f99f8e9

311110007017 has 2 divisors, whose sum is σ = 311110007018. Its totient is φ = 311110007016.

The previous prime is 311110007003. The next prime is 311110007023. The reversal of 311110007017 is 710700011113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289211630656 + 21898376361 = 537784^2 + 147981^2 .

It is a cyclic number.

It is not a de Polignac number, because 311110007017 - 211 = 311110004969 is a prime.

It is a super-2 number, since 2×3111100070172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311110007027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155555003508 + 155555003509.

It is an arithmetic number, because the mean of its divisors is an integer number (155555003509).

Almost surely, 2311110007017 is an apocalyptic number.

It is an amenable number.

311110007017 is a deficient number, since it is larger than the sum of its proper divisors (1).

311110007017 is an equidigital number, since it uses as much as digits as its factorization.

311110007017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 147, while the sum is 22.

The spelling of 311110007017 in words is "three hundred eleven billion, one hundred ten million, seven thousand, seventeen".