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100131252 = 22313641867
BaseRepresentation
bin1011111011111…
…10000110110100
320222102012020220
411331332012310
5201113200002
613534054340
72324046564
oct575760664
9228365226
10100131252
1151581101
122964a3b0
131798b480
14d426da4
158bcd7bc
hex5f7e1b4

100131252 has 24 divisors (see below), whose sum is σ = 251612256. Its totient is φ = 30809568.

The previous prime is 100131247. The next prime is 100131263. The reversal of 100131252 is 252131001.

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, 320778 + ... + 321089.

It is an arithmetic number, because the mean of its divisors is an integer number (10483844).

Almost surely, 2100131252 is an apocalyptic number.

100131252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100131252 is an abundant number, since it is smaller than the sum of its proper divisors (151481004).

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

100131252 is a wasteful number, since it uses less digits than its factorization.

100131252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641887 (or 641885 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 100131252 is about 10006.5604480261. The cubic root of 100131252 is about 464.3618671862.

Adding to 100131252 its reverse (252131001), we get a palindrome (352262253).

The spelling of 100131252 in words is "one hundred million, one hundred thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 641867 1283734 1925601 2567468 3851202 7702404 8344271 16688542 25032813 33377084 50065626 100131252