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100131310113 = 3291150934599
BaseRepresentation
bin101110101000001001…
…0101000101000100001
3100120110022201120212020
41131100102220220201
53120032103410423
6113555533252053
710143230043552
oct1352022505041
9316408646766
10100131310113
113951357235a
12174a5934029
139599a96633
144bbc682329
152910a264e3
hex17504a8a21

100131310113 has 8 divisors (see below), whose sum is σ = 138112152000. Its totient is φ = 64452337488.

The previous prime is 100131310099. The next prime is 100131310121. The reversal of 100131310113 is 311013131001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100131310113 - 26 = 100131310049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100131310092 and 100131310101.

It is not an unprimeable number, because it can be changed into a prime (100131310193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575467213 + ... + 575467386.

It is an arithmetic number, because the mean of its divisors is an integer number (17264019000).

Almost surely, 2100131310113 is an apocalyptic number.

It is an amenable number.

100131310113 is a deficient number, since it is larger than the sum of its proper divisors (37980841887).

100131310113 is a wasteful number, since it uses less digits than its factorization.

100131310113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150934631.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100131310113 its reverse (311013131001), we get a palindrome (411144441114).

The spelling of 100131310113 in words is "one hundred billion, one hundred thirty-one million, three hundred ten thousand, one hundred thirteen".

Divisors: 1 3 29 87 1150934599 3452803797 33377103371 100131310113