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114053607697 is a prime number
BaseRepresentation
bin110101000111000011…
…1111111000100010001
3101220101120222120202111
41222032013333010101
53332040210421242
6124221232345321
711145232445461
oct1521607770421
9356346876674
10114053607697
1144408319617
121a1303a5241
13a9a826ab43
14573d6cdba1
152e77e0b817
hex1a8e1ff111

114053607697 has 2 divisors, whose sum is σ = 114053607698. Its totient is φ = 114053607696.

The previous prime is 114053607673. The next prime is 114053607713. The reversal of 114053607697 is 796706350411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111312980496 + 2740627201 = 333636^2 + 52351^2 .

It is a cyclic number.

It is not a de Polignac number, because 114053607697 - 231 = 111906124049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114053607697.

It is not a weakly prime, because it can be changed into another prime (114053607397) 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, 57026803848 + 57026803849.

It is an arithmetic number, because the mean of its divisors is an integer number (57026803849).

Almost surely, 2114053607697 is an apocalyptic number.

It is an amenable number.

114053607697 is a deficient number, since it is larger than the sum of its proper divisors (1).

114053607697 is an equidigital number, since it uses as much as digits as its factorization.

114053607697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 114053607697 in words is "one hundred fourteen billion, fifty-three million, six hundred seven thousand, six hundred ninety-seven".