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13126624129 is a prime number
BaseRepresentation
bin11000011100110100…
…00110001110000001
31020212211001121010001
430032122012032001
5203340403433004
610010313040001
7643201315123
oct141632061601
936784047101
1013126624129
115626700aa3
1226640b6001
1313126a7a18
148c74cb213
1551c6151a4
hex30e686381

13126624129 has 2 divisors, whose sum is σ = 13126624130. Its totient is φ = 13126624128.

The previous prime is 13126624123. The next prime is 13126624163. The reversal of 13126624129 is 92142662131.

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., 12877710400 + 248913729 = 113480^2 + 15777^2 .

It is a cyclic number.

It is not a de Polignac number, because 13126624129 - 211 = 13126622081 is a prime.

It is a super-2 number, since 2×131266241292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13126624123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6563312064 + 6563312065.

It is an arithmetic number, because the mean of its divisors is an integer number (6563312065).

Almost surely, 213126624129 is an apocalyptic number.

It is an amenable number.

13126624129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13126624129 is an equidigital number, since it uses as much as digits as its factorization.

13126624129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 37.

The spelling of 13126624129 in words is "thirteen billion, one hundred twenty-six million, six hundred twenty-four thousand, one hundred twenty-nine".