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13129806817 is a prime number
BaseRepresentation
bin11000011101001100…
…01111001111100001
31020220001001021221101
430032212033033201
5203342212304232
610010505154401
7643240342111
oct141646171741
936801037841
1013129806817
115628485216
12266518ba01
13131325057a
148c7ab9041
1551ca431e7
hex30e98f3e1

13129806817 has 2 divisors, whose sum is σ = 13129806818. Its totient is φ = 13129806816.

The previous prime is 13129806779. The next prime is 13129806883. The reversal of 13129806817 is 71860892131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8144882001 + 4984924816 = 90249^2 + 70604^2 .

It is a cyclic number.

It is not a de Polignac number, because 13129806817 - 27 = 13129806689 is a prime.

It is not a weakly prime, because it can be changed into another prime (13129806617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6564903408 + 6564903409.

It is an arithmetic number, because the mean of its divisors is an integer number (6564903409).

Almost surely, 213129806817 is an apocalyptic number.

It is an amenable number.

13129806817 is a deficient number, since it is larger than the sum of its proper divisors (1).

13129806817 is an equidigital number, since it uses as much as digits as its factorization.

13129806817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 13129806817 in words is "thirteen billion, one hundred twenty-nine million, eight hundred six thousand, eight hundred seventeen".