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100544414131 = 7217531170523
BaseRepresentation
bin101110110100011101…
…0100000000110110011
3100121112010001110001001
41131220322200012303
53121403332223011
6114104531422431
710156404263500
oct1355072400663
9317463043031
10100544414131
1139705778537
12175a0154a17
139634545595
144c1b4984a7
152936e277c1
hex1768ea01b3

100544414131 has 12 divisors (see below), whose sum is σ = 117026648472. Its totient is φ = 86131690848.

The previous prime is 100544414123. The next prime is 100544414171. The reversal of 100544414131 is 131414445001.

It is not a de Polignac number, because 100544414131 - 23 = 100544414123 is a prime.

It is a super-2 number, since 2×1005444141312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100544414131.

It is not an unprimeable number, because it can be changed into a prime (100544414171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499365 + ... + 671158.

It is an arithmetic number, because the mean of its divisors is an integer number (9752220706).

Almost surely, 2100544414131 is an apocalyptic number.

100544414131 is a deficient number, since it is larger than the sum of its proper divisors (16482234341).

100544414131 is a wasteful number, since it uses less digits than its factorization.

100544414131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172290 (or 1172283 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 100544414131 its reverse (131414445001), we get a palindrome (231958859132).

The spelling of 100544414131 in words is "one hundred billion, five hundred forty-four million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 7 49 1753 12271 85897 1170523 8193661 57355627 2051926819 14363487733 100544414131