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114055260601 is a prime number
BaseRepresentation
bin110101000111000111…
…0010010100110111001
3101220101201002120010011
41222032032102212321
53332041121314401
6124221332021521
711145252501442
oct1521616224671
9356351076104
10114055260601
1144409248457
121a130a618a1
13a9a86c92a9
14573da002c9
152e78136451
hex1a8e3929b9

114055260601 has 2 divisors, whose sum is σ = 114055260602. Its totient is φ = 114055260600.

The previous prime is 114055260589. The next prime is 114055260611. The reversal of 114055260601 is 106062550411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90586552576 + 23468708025 = 300976^2 + 153195^2 .

It is a cyclic number.

It is not a de Polignac number, because 114055260601 - 221 = 114053163449 is a prime.

It is not a weakly prime, because it can be changed into another prime (114055260611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57027630300 + 57027630301.

It is an arithmetic number, because the mean of its divisors is an integer number (57027630301).

Almost surely, 2114055260601 is an apocalyptic number.

It is an amenable number.

114055260601 is a deficient number, since it is larger than the sum of its proper divisors (1).

114055260601 is an equidigital number, since it uses as much as digits as its factorization.

114055260601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 114055260601 in words is "one hundred fourteen billion, fifty-five million, two hundred sixty thousand, six hundred one".