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100431256220 = 225103108744851
BaseRepresentation
bin101110110001000101…
…0110101101010011100
3100121020020010102120022
41131202022311222130
53121140400144340
6114045410211312
710153531410161
oct1354212655234
9317206112508
10100431256220
113965790a2a9
121756a283b38
139616c75a39
144c0a440068
15292c0243b5
hex17622b5a9c

100431256220 has 48 divisors (see below), whose sum is σ = 213153927168. Its totient is φ = 39744993600.

The previous prime is 100431256213. The next prime is 100431256253. The reversal of 100431256220 is 22652134001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100431256220.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2216795 + ... + 2261645.

It is an arithmetic number, because the mean of its divisors is an integer number (4440706816).

Almost surely, 2100431256220 is an apocalyptic number.

100431256220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100431256220 is an abundant number, since it is smaller than the sum of its proper divisors (112722670948).

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

100431256220 is a wasteful number, since it uses less digits than its factorization.

100431256220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46050 (or 46048 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 100431256220 in words is "one hundred billion, four hundred thirty-one million, two hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 103 206 412 515 1030 1087 2060 2174 4348 5435 10870 21740 44851 89702 111961 179404 223922 224255 447844 448510 559805 897020 1119610 2239220 4619653 9239306 18478612 23098265 46196530 48753037 92393060 97506074 195012148 243765185 487530370 975060740 5021562811 10043125622 20086251244 25107814055 50215628110 100431256220