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114501541129 is a prime number
BaseRepresentation
bin110101010100011010…
…0101101110100001001
3101221112210211221220121
41222220310231310021
53333444343304004
6124333513223241
711162312020033
oct1525064556411
9357483757817
10114501541129
1144618153638
121a236401b21
13aa49cc3001
145782db0c53
152ea23dc854
hex1aa8d2dd09

114501541129 has 2 divisors, whose sum is σ = 114501541130. Its totient is φ = 114501541128.

The previous prime is 114501541117. The next prime is 114501541151. The reversal of 114501541129 is 921145105411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87528405904 + 26973135225 = 295852^2 + 164235^2 .

It is an emirp because it is prime and its reverse (921145105411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114501541129 - 29 = 114501540617 is a prime.

It is a super-2 number, since 2×1145015411292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114501541094 and 114501541103.

It is not a weakly prime, because it can be changed into another prime (114501541229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57250770564 + 57250770565.

It is an arithmetic number, because the mean of its divisors is an integer number (57250770565).

Almost surely, 2114501541129 is an apocalyptic number.

It is an amenable number.

114501541129 is a deficient number, since it is larger than the sum of its proper divisors (1).

114501541129 is an equidigital number, since it uses as much as digits as its factorization.

114501541129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 34.

The spelling of 114501541129 in words is "one hundred fourteen billion, five hundred one million, five hundred forty-one thousand, one hundred twenty-nine".