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114602526013 is a prime number
BaseRepresentation
bin110101010111011010…
…1111100010100111101
3101221210211212112010111
41222232311330110331
53334201221313023
6124351521510021
711164646253433
oct1525665742475
9357724775114
10114602526013
114466a158018
121a2641a2311
13aa64bbcb91
14579257ad53
152eab1d900d
hex1aaed7c53d

114602526013 has 2 divisors, whose sum is σ = 114602526014. Its totient is φ = 114602526012.

The previous prime is 114602526007. The next prime is 114602526097. The reversal of 114602526013 is 310625206411.

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., 112180114489 + 2422411524 = 334933^2 + 49218^2 .

It is a cyclic number.

It is not a de Polignac number, because 114602526013 - 29 = 114602525501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114602520013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57301263006 + 57301263007.

It is an arithmetic number, because the mean of its divisors is an integer number (57301263007).

Almost surely, 2114602526013 is an apocalyptic number.

It is an amenable number.

114602526013 is a deficient number, since it is larger than the sum of its proper divisors (1).

114602526013 is an equidigital number, since it uses as much as digits as its factorization.

114602526013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 114602526013 in words is "one hundred fourteen billion, six hundred two million, five hundred twenty-six thousand, thirteen".