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114579653129 is a prime number
BaseRepresentation
bin110101010110101111…
…0101100001000001001
3101221202020211110102122
41222231132230020021
53334124342400004
6124345343341025
711164250660564
oct1525536541011
9357666743378
10114579653129
1144658255307
121a2585b1775
13aa60241c26
14578d5054db
152ea91bbcbe
hex1aad7ac209

114579653129 has 2 divisors, whose sum is σ = 114579653130. Its totient is φ = 114579653128.

The previous prime is 114579653119. The next prime is 114579653141. The reversal of 114579653129 is 921356975411.

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., 60590807104 + 53988846025 = 246152^2 + 232355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114579653129 is a prime.

It is a super-2 number, since 2×1145796531292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114579653119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57289826564 + 57289826565.

It is an arithmetic number, because the mean of its divisors is an integer number (57289826565).

Almost surely, 2114579653129 is an apocalyptic number.

It is an amenable number.

114579653129 is a deficient number, since it is larger than the sum of its proper divisors (1).

114579653129 is an equidigital number, since it uses as much as digits as its factorization.

114579653129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2041200, while the sum is 53.

The spelling of 114579653129 in words is "one hundred fourteen billion, five hundred seventy-nine million, six hundred fifty-three thousand, one hundred twenty-nine".