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100132233132 = 22364211299541
BaseRepresentation
bin101110101000001011…
…0001001111110101100
3100120110101110111000010
41131100112021332230
53120032322430012
6114000005133220
710143240636561
oct1352026117654
9316411414003
10100132233132
1139514042888
12174a60ba210
13959a02a7b9
144bbc842868
152910b59c3c
hex1750589fac

100132233132 has 24 divisors (see below), whose sum is σ = 233678444272. Its totient is φ = 33372187200.

The previous prime is 100132233121. The next prime is 100132233139. The reversal of 100132233132 is 231332231001.

It is a super-2 number, since 2×1001322331322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100132233099 and 100132233108.

It is not an unprimeable number, because it can be changed into a prime (100132233139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572719 + ... + 726822.

Almost surely, 2100132233132 is an apocalyptic number.

100132233132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100132233132 is an abundant number, since it is smaller than the sum of its proper divisors (133546211140).

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

100132233132 is a wasteful number, since it uses less digits than its factorization.

100132233132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305969 (or 1305967 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100132233132 its reverse (231332231001), we get a palindrome (331464464133).

The spelling of 100132233132 in words is "one hundred billion, one hundred thirty-two million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 6421 12842 19263 25684 38526 77052 1299541 2599082 3898623 5198164 7797246 15594492 8344352761 16688705522 25033058283 33377411044 50066116566 100132233132