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115601666113 is a prime number
BaseRepresentation
bin110101110101001100…
…1010111000001000001
3102001101110221002200101
41223222121113001001
53343223011303423
6125035012522401
711231500643353
oct1535231270101
9361343832611
10115601666113
114503214383a
121a4a2920401
13ab93bb883b
1458491430d3
153018c9a7ad
hex1aea657041

115601666113 has 2 divisors, whose sum is σ = 115601666114. Its totient is φ = 115601666112.

The previous prime is 115601666029. The next prime is 115601666129. The reversal of 115601666113 is 311666106511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82100587024 + 33501079089 = 286532^2 + 183033^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-115601666113 is a prime.

It is not a weakly prime, because it can be changed into another prime (115601666143) 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, 57800833056 + 57800833057.

It is an arithmetic number, because the mean of its divisors is an integer number (57800833057).

Almost surely, 2115601666113 is an apocalyptic number.

It is an amenable number.

115601666113 is a deficient number, since it is larger than the sum of its proper divisors (1).

115601666113 is an equidigital number, since it uses as much as digits as its factorization.

115601666113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 115601666113 in words is "one hundred fifteen billion, six hundred one million, six hundred sixty-six thousand, one hundred thirteen".