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100132317 = 3223539127
BaseRepresentation
bin1011111011111…
…10010111011101
320222102020201100
411331332113131
5201113213232
613534103313
72324052645
oct575762735
9228366640
10100132317
115158198a
122964ab39
131798babc
14d427525
158bcdc7c
hex5f7e5dd

100132317 has 24 divisors (see below), whose sum is σ = 153788544. Its totient is φ = 62640864.

The previous prime is 100132303. The next prime is 100132327. The reversal of 100132317 is 713231001.

It is not a de Polignac number, because 100132317 - 24 = 100132301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100132317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132327) 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, 6408 + ... + 15534.

It is an arithmetic number, because the mean of its divisors is an integer number (6407856).

Almost surely, 2100132317 is an apocalyptic number.

It is an amenable number.

100132317 is a deficient number, since it is larger than the sum of its proper divisors (53656227).

100132317 is a wasteful number, since it uses less digits than its factorization.

100132317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9209 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 100132317 is about 10006.6136629731. The cubic root of 100132317 is about 464.3635135042.

Adding to 100132317 its reverse (713231001), we get a palindrome (813363318).

The spelling of 100132317 in words is "one hundred million, one hundred thirty-two thousand, three hundred seventeen".

Divisors: 1 3 9 23 53 69 159 207 477 1219 3657 9127 10971 27381 82143 209921 483731 629763 1451193 1889289 4353579 11125813 33377439 100132317