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100292855137 = 1923739310559
BaseRepresentation
bin101110101100111101…
…0111000010101100001
3100120212120200220222021
41131121322320111201
53120344432331022
6114023543541441
710150231126366
oct1353172702541
9316776626867
10100292855137
113959677a542
121752ba5a881
1395c43a83c7
144bd5cd446d
15291ecd67c7
hex1759eb8561

100292855137 has 16 divisors (see below), whose sum is σ = 110310912000. Its totient is φ = 90759954384.

The previous prime is 100292855111. The next prime is 100292855141. The reversal of 100292855137 is 731558292001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100292855137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100292855093 and 100292855102.

It is not an unprimeable number, because it can be changed into a prime (100292855437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167664 + ... + 478222.

It is an arithmetic number, because the mean of its divisors is an integer number (6894432000).

Almost surely, 2100292855137 is an apocalyptic number.

It is an amenable number.

100292855137 is a deficient number, since it is larger than the sum of its proper divisors (10018056863).

100292855137 is a wasteful number, since it uses less digits than its factorization.

100292855137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311340.

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 100292855137 in words is "one hundred billion, two hundred ninety-two million, eight hundred fifty-five thousand, one hundred thirty-seven".

Divisors: 1 19 23 437 739 14041 16997 310559 322943 5900621 7142857 135714283 229503101 4360558919 5278571323 100292855137