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114525510401 is a prime number
BaseRepresentation
bin110101010101001000…
…0001001101100000001
3101221121110221201120102
41222222100021230001
53334022012313101
6124340131052145
711163022530221
oct1525220115401
9357543851512
10114525510401
114462a735055
121a242441055
13aa51c66003
145786250081
152ea457486b
hex1aaa409b01

114525510401 has 2 divisors, whose sum is σ = 114525510402. Its totient is φ = 114525510400.

The previous prime is 114525510383. The next prime is 114525510403. The reversal of 114525510401 is 104015525411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66627999376 + 47897511025 = 258124^2 + 218855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114525510401 is a prime.

Together with 114525510403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114525510403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57262755200 + 57262755201.

It is an arithmetic number, because the mean of its divisors is an integer number (57262755201).

Almost surely, 2114525510401 is an apocalyptic number.

It is an amenable number.

114525510401 is a deficient number, since it is larger than the sum of its proper divisors (1).

114525510401 is an equidigital number, since it uses as much as digits as its factorization.

114525510401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4000, while the sum is 29.

The spelling of 114525510401 in words is "one hundred fourteen billion, five hundred twenty-five million, five hundred ten thousand, four hundred one".