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10020120132 = 2231175910001
BaseRepresentation
bin10010101010011111…
…01110011001000100
3221212022121211202110
421111033232121010
5131010122321012
64334141541020
7503210421141
oct112517563104
927768554673
1010020120132
114282107620
121b37874770
13c38c13489
146b0abd3c8
153d9a3473c
hex2553ee644

10020120132 has 24 divisors (see below), whose sum is σ = 25505760672. Its totient is φ = 3036400000.

The previous prime is 10020120119. The next prime is 10020120133. The reversal of 10020120132 is 23102102001.

10020120132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10020120133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37954869 + ... + 37955132.

It is an arithmetic number, because the mean of its divisors is an integer number (1062740028).

Almost surely, 210020120132 is an apocalyptic number.

10020120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020120132 is an abundant number, since it is smaller than the sum of its proper divisors (15485640540).

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

10020120132 is a wasteful number, since it uses less digits than its factorization.

10020120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75910019 (or 75910017 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10020120132 its reverse (23102102001), we get a palindrome (33122222133).

The spelling of 10020120132 in words is "ten billion, twenty million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 75910001 151820002 227730003 303640004 455460006 835010011 910920012 1670020022 2505030033 3340040044 5010060066 10020120132