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114525147241 is a prime number
BaseRepresentation
bin110101010101000111…
…0110001000001101001
3101221121110021021102001
41222222032301001221
53334021414202431
6124340115211001
711163016455361
oct1525216610151
9357543237361
10114525147241
114462a50721a
121a2422a6a61
13aa51b6991b
1457861979a1
152ea4501e61
hex1aaa3b1069

114525147241 has 2 divisors, whose sum is σ = 114525147242. Its totient is φ = 114525147240.

The previous prime is 114525147179. The next prime is 114525147257. The reversal of 114525147241 is 142741525411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61898952025 + 52626195216 = 248795^2 + 229404^2 .

It is a cyclic number.

It is not a de Polignac number, because 114525147241 - 211 = 114525145193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114525147241.

It is not a weakly prime, because it can be changed into another prime (114525147041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57262573620 + 57262573621.

It is an arithmetic number, because the mean of its divisors is an integer number (57262573621).

Almost surely, 2114525147241 is an apocalyptic number.

It is an amenable number.

114525147241 is a deficient number, since it is larger than the sum of its proper divisors (1).

114525147241 is an equidigital number, since it uses as much as digits as its factorization.

114525147241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44800, while the sum is 37.

The spelling of 114525147241 in words is "one hundred fourteen billion, five hundred twenty-five million, one hundred forty-seven thousand, two hundred forty-one".