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100113132 = 22375412203
BaseRepresentation
bin1011111011110…
…01101011101100
320222101021101210
411331321223230
5201112110012
613533434420
72323643010
oct575715354
9228337353
10100113132
1151569529
122963ba10
1317983152
14d420540
158bc823c
hex5f79aec

100113132 has 48 divisors (see below), whose sum is σ = 267583232. Its totient is φ = 28537920.

The previous prime is 100113067. The next prime is 100113173. The reversal of 100113132 is 231311001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44343 + ... + 46545.

Almost surely, 2100113132 is an apocalyptic number.

100113132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100113132 is an abundant number, since it is smaller than the sum of its proper divisors (167470100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100113132 is a wasteful number, since it uses less digits than its factorization.

100113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100113132 is about 10005.6550010482. The cubic root of 100113132 is about 464.3338548043. Note that the first 3 decimals are identical.

Adding to 100113132 its reverse (231311001), we get a palindrome (331424133).

The spelling of 100113132 in words is "one hundred million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 541 1082 1623 2164 2203 3246 3787 4406 6492 6609 7574 8812 11361 13218 15148 15421 22722 26436 30842 45444 46263 61684 92526 185052 1191823 2383646 3575469 4767292 7150938 8342761 14301876 16685522 25028283 33371044 50056566 100113132