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101693135101 is a prime number
BaseRepresentation
bin101111010110101100…
…0100001100011111101
3100201111011120111222011
41132231120201203331
53131231420310401
6114414524451221
710230023246305
oct1365530414375
9321434514864
10101693135101
113a14513a608
12178609a9b11
13978852442c
144cc9c7a605
1529a2bd4451
hex17ad6218fd

101693135101 has 2 divisors, whose sum is σ = 101693135102. Its totient is φ = 101693135100.

The previous prime is 101693135087. The next prime is 101693135113. The reversal of 101693135101 is 101531396101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74722956025 + 26970179076 = 273355^2 + 164226^2 .

It is a cyclic number.

It is not a de Polignac number, because 101693135101 - 211 = 101693133053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101693135161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50846567550 + 50846567551.

It is an arithmetic number, because the mean of its divisors is an integer number (50846567551).

Almost surely, 2101693135101 is an apocalyptic number.

It is an amenable number.

101693135101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101693135101 is an equidigital number, since it uses as much as digits as its factorization.

101693135101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 31.

The spelling of 101693135101 in words is "one hundred one billion, six hundred ninety-three million, one hundred thirty-five thousand, one hundred one".