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100015610161 is a prime number
BaseRepresentation
bin101110100100101100…
…1010001100100110001
3100120011021000102100211
41131021121101210301
53114312444011121
6113540241344121
710140323442115
oct1351131214461
9316137012324
10100015610161
1139464228265
1217473038041
13957bb16a1c
144bab165745
1529057bece1
hex1749651931

100015610161 has 2 divisors, whose sum is σ = 100015610162. Its totient is φ = 100015610160.

The previous prime is 100015610143. The next prime is 100015610197. The reversal of 100015610161 is 161016510001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84625719025 + 15389891136 = 290905^2 + 124056^2 .

It is a cyclic number.

It is not a de Polignac number, because 100015610161 - 25 = 100015610129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100015610131) 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, 50007805080 + 50007805081.

It is an arithmetic number, because the mean of its divisors is an integer number (50007805081).

Almost surely, 2100015610161 is an apocalyptic number.

It is an amenable number.

100015610161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100015610161 is an equidigital number, since it uses as much as digits as its factorization.

100015610161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 100015610161 in words is "one hundred billion, fifteen million, six hundred ten thousand, one hundred sixty-one".