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100242672132 = 22336722761733
BaseRepresentation
bin101110101011011101…
…1011100101000000100
3100120202002021100211110
41131112323130220010
53120244111002012
6114014552205020
710146051440301
oct1352673345004
9316662240743
10100242672132
1139570414289
1217517099770
1395b6b87915
144bcd3900a8
15291a6c273c
hex1756edca04

100242672132 has 24 divisors (see below), whose sum is σ = 234536907136. Its totient is φ = 33323175648.

The previous prime is 100242672053. The next prime is 100242672137. The reversal of 100242672132 is 231276242001.

It is a self number, because there is not a number n which added to its sum of digits gives 100242672132.

It is not an unprimeable number, because it can be changed into a prime (100242672137) 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, 11376463 + ... + 11385270.

Almost surely, 2100242672132 is an apocalyptic number.

100242672132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100242672132 is an abundant number, since it is smaller than the sum of its proper divisors (134294235004).

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

100242672132 is a wasteful number, since it uses less digits than its factorization.

100242672132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22762107 (or 22762105 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 100242672132 in words is "one hundred billion, two hundred forty-two million, six hundred seventy-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 367 734 1101 1468 2202 4404 22761733 45523466 68285199 91046932 136570398 273140796 8353556011 16707112022 25060668033 33414224044 50121336066 100242672132