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100120233132 = 223224111539907
BaseRepresentation
bin101110100111110100…
…0011000010010101100
3100120102112212211002200
41131033220120102230
53120021234430012
6113554500021500
710143033640263
oct1351750302254
9316375784080
10100120233132
1139508297027
12174a2091890
1395976b87ca
144bbaddb5da
15290ea893dc
hex174fa184ac

100120233132 has 36 divisors (see below), whose sum is σ = 254131853976. Its totient is φ = 33234929280.

The previous prime is 100120233119. The next prime is 100120233173. The reversal of 100120233132 is 231332021001.

100120233132 is a `hidden beast` number, since 100 + 1 + 202 + 331 + 32 = 666.

100120233132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1001202331322 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5761278 + ... + 5778629.

It is an arithmetic number, because the mean of its divisors is an integer number (7059218166).

Almost surely, 2100120233132 is an apocalyptic number.

100120233132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120233132 is an abundant number, since it is smaller than the sum of its proper divisors (154011620844).

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

100120233132 is a wasteful number, since it uses less digits than its factorization.

100120233132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11540158 (or 11540153 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100120233132 its reverse (231332021001), we get a palindrome (331452254133).

The spelling of 100120233132 in words is "one hundred billion, one hundred twenty million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 4338 8676 11539907 23079814 34619721 46159628 69239442 103859163 138478884 207718326 415436652 2781117587 5562235174 8343352761 11124470348 16686705522 25030058283 33373411044 50060116566 100120233132