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100133231131 = 295921516569
BaseRepresentation
bin101110101000001100…
…1111101101000011011
3100120110110100012000001
41131100121331220123
53120033101344011
6114000042353431
710143252264313
oct1352031755033
9316413305001
10100133231131
113951466467a
12174a64bb877
13959a2b9b2b
144bbca22443
152910ca57c1
hex175067da1b

100133231131 has 24 divisors (see below), whose sum is σ = 106085527200. Its totient is φ = 94397923200.

The previous prime is 100133231123. The next prime is 100133231147. The reversal of 100133231131 is 131132331001.

It is not a de Polignac number, because 100133231131 - 23 = 100133231123 is a prime.

It is a super-2 number, since 2×1001332311312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100133231099 and 100133231108.

It is not an unprimeable number, because it can be changed into a prime (100133237131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15240015 + ... + 15246583.

It is an arithmetic number, because the mean of its divisors is an integer number (4420230300).

Almost surely, 2100133231131 is an apocalyptic number.

100133231131 is a deficient number, since it is larger than the sum of its proper divisors (5952296069).

100133231131 is an equidigital number, since it uses as much as digits as its factorization.

100133231131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100133231131 its reverse (131132331001), we get a palindrome (231265562132).

The spelling of 100133231131 in words is "one hundred billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 29 59 151 1711 3481 4379 6569 8909 100949 190501 258361 387571 525631 991919 11239559 15243299 22866689 28765651 58523221 663133981 1697173409 3452870039 100133231131