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100131132 = 22311537237
BaseRepresentation
bin1011111011111…
…10000100111100
320222102012002110
411331332010330
5201113144012
613534054020
72324046333
oct575760474
9228365073
10100131132
1151581002
122964a310
131798b3ba
14d426d1a
158bcd73c
hex5f7e13c

100131132 has 24 divisors (see below), whose sum is σ = 233874256. Its totient is φ = 33343488.

The previous prime is 100131127. The next prime is 100131149. The reversal of 100131132 is 231131001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10218 + ... + 17454.

Almost surely, 2100131132 is an apocalyptic number.

100131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100131132 is an abundant number, since it is smaller than the sum of its proper divisors (133743124).

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

100131132 is a wasteful number, since it uses less digits than its factorization.

100131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8397 (or 8395 counting only the distinct ones).

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

The square root of 100131132 is about 10006.5544519580. The cubic root of 100131132 is about 464.3616816849.

Adding to 100131132 its reverse (231131001), we get a palindrome (331262133).

The spelling of 100131132 in words is "one hundred million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 1153 2306 3459 4612 6918 7237 13836 14474 21711 28948 43422 86844 8344261 16688522 25032783 33377044 50065566 100131132