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31126410017 is a prime number
BaseRepresentation
bin11100111111010001…
…110101001100100001
32222100020211110102122
4130333101311030201
51002221330110032
622144350554025
72151225056033
oct347721651441
988306743378
1031126410017
11122230575aa
126048208915
132c208619c1
141713c9dc53
15c2297a012
hex73f475321

31126410017 has 2 divisors, whose sum is σ = 31126410018. Its totient is φ = 31126410016.

The previous prime is 31126409999. The next prime is 31126410113. The reversal of 31126410017 is 71001462113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27206523136 + 3919886881 = 164944^2 + 62609^2 .

It is an emirp because it is prime and its reverse (71001462113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31126410017 - 26 = 31126409953 is a prime.

It is not a weakly prime, because it can be changed into another prime (31126410517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15563205008 + 15563205009.

It is an arithmetic number, because the mean of its divisors is an integer number (15563205009).

Almost surely, 231126410017 is an apocalyptic number.

It is an amenable number.

31126410017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31126410017 is an equidigital number, since it uses as much as digits as its factorization.

31126410017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 31126410017 in words is "thirty-one billion, one hundred twenty-six million, four hundred ten thousand, seventeen".