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114135613121 is a prime number
BaseRepresentation
bin110101001001100000…
…0110011111011000001
3101220121022021220001102
41222103000303323001
53332222204104441
6124233322144145
711150246463365
oct1522300637301
9356538256042
10114135613121
114444a63a4a2
121a153952055
13a9bc250c6a
14574a5592a5
152e8020969b
hex1a93033ec1

114135613121 has 2 divisors, whose sum is σ = 114135613122. Its totient is φ = 114135613120.

The previous prime is 114135613117. The next prime is 114135613129. The reversal of 114135613121 is 121316531411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80256057025 + 33879556096 = 283295^2 + 184064^2 .

It is a cyclic number.

It is not a de Polignac number, because 114135613121 - 22 = 114135613117 is a prime.

It is not a weakly prime, because it can be changed into another prime (114135613129) 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, 57067806560 + 57067806561.

It is an arithmetic number, because the mean of its divisors is an integer number (57067806561).

Almost surely, 2114135613121 is an apocalyptic number.

It is an amenable number.

114135613121 is a deficient number, since it is larger than the sum of its proper divisors (1).

114135613121 is an equidigital number, since it uses as much as digits as its factorization.

114135613121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 29.

The spelling of 114135613121 in words is "one hundred fourteen billion, one hundred thirty-five million, six hundred thirteen thousand, one hundred twenty-one".