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100344000132 = 223263112373571
BaseRepresentation
bin101110101110011110…
…1111110111010000100
3100121000010221100201100
41131130331332322010
53121001031001012
6114033012100100
710151421633225
oct1353475767204
9317003840640
10100344000132
1139612632532
1217545004630
139601b74a0c
144bdca0924c
15292453a8dc
hex175cf7ee84

100344000132 has 72 divisors (see below), whose sum is σ = 254325885632. Its totient is φ = 33358651200.

The previous prime is 100344000089. The next prime is 100344000139. The reversal of 100344000132 is 231000443001.

100344000132 is a `hidden beast` number, since 100 + 34 + 400 + 0 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100344000139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28097907 + ... + 28101477.

Almost surely, 2100344000132 is an apocalyptic number.

100344000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100344000132 is an abundant number, since it is smaller than the sum of its proper divisors (153981885500).

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

100344000132 is a wasteful number, since it uses less digits than its factorization.

100344000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100344000132 its reverse (231000443001), we get a palindrome (331344443133).

The spelling of 100344000132 in words is "one hundred billion, three hundred forty-four million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 631 1237 1262 1893 2474 2524 3571 3711 3786 4948 5679 7142 7422 7572 10713 11133 11358 14284 14844 21426 22266 22716 32139 42852 44532 64278 128556 780547 1561094 2253301 2341641 3122188 4417327 4506602 4683282 6759903 7024923 8834654 9013204 9366564 13251981 13519806 14049846 17669308 20279709 26503962 27039612 28099692 39755943 40559418 53007924 79511886 81118836 159023772 2787333337 5574666674 8362000011 11149333348 16724000022 25086000033 33448000044 50172000066 100344000132