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101157555149 = 723755795673
BaseRepresentation
bin101111000110101110…
…1011100101111001101
3100200002211210020101122
41132031131130233031
53124132313231044
6114245433250325
710210531013600
oct1361535345715
9320084706348
10101157555149
113999a891452
12177315639a5
139701592611
144c78aa2337
152970b8ddee
hex178d75cbcd

101157555149 has 12 divisors (see below), whose sum is σ = 120853429884. Its totient is φ = 84363056064.

The previous prime is 101157555143. The next prime is 101157555167. The reversal of 101157555149 is 941555751101.

It can be written as a sum of positive squares in 2 ways, for example, as 97691878249 + 3465676900 = 312557^2 + 58870^2 .

It is not a de Polignac number, because 101157555149 - 28 = 101157554893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101157555143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27896024 + ... + 27899649.

It is an arithmetic number, because the mean of its divisors is an integer number (10071119157).

Almost surely, 2101157555149 is an apocalyptic number.

It is an amenable number.

101157555149 is a deficient number, since it is larger than the sum of its proper divisors (19695874735).

101157555149 is an equidigital number, since it uses as much as digits as its factorization.

101157555149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55795724 (or 55795717 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 44.

The spelling of 101157555149 in words is "one hundred one billion, one hundred fifty-seven million, five hundred fifty-five thousand, one hundred forty-nine".

Divisors: 1 7 37 49 259 1813 55795673 390569711 2064439901 2733987977 14451079307 101157555149