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100155132 = 223271136131
BaseRepresentation
bin1011111100000…
…11111011111100
320222110102000100
411332003323330
5201114431012
613534401100
72324206320
oct576037374
9228412010
10100155132
1151598040
1229660190
13179992bc
14d431980
158bd58dc
hex5f83efc

100155132 has 72 divisors (see below), whose sum is σ = 315649152. Its totient is φ = 26013600.

The previous prime is 100155131. The next prime is 100155149. The reversal of 100155132 is 231551001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100155131) 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, 15294 + ... + 20837.

It is an arithmetic number, because the mean of its divisors is an integer number (4384016).

Almost surely, 2100155132 is an apocalyptic number.

100155132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100155132 is an abundant number, since it is smaller than the sum of its proper divisors (215494020).

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

100155132 is a wasteful number, since it uses less digits than its factorization.

100155132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36159 (or 36154 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100155132 is about 10007.7535940889. The cubic root of 100155132 is about 464.3987790054.

The spelling of 100155132 in words is "one hundred million, one hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 36131 72262 108393 144524 216786 252917 325179 397441 433572 505834 650358 758751 794882 1011668 1192323 1300716 1517502 1589764 2276253 2384646 2782087 3035004 3576969 4552506 4769292 5564174 7153938 8346261 9105012 11128348 14307876 16692522 25038783 33385044 50077566 100155132