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10122131100 = 2235233740437
BaseRepresentation
bin10010110110101001…
…10111011010011100
3222010102120112111110
421123110313122130
5131212231143400
64352224222020
7505556460204
oct113324673234
928112515443
1010122131100
114324751a04
121b65a6a910
13c540ac3b3
146c0475404
153e3984e50
hex25b53769c

10122131100 has 36 divisors (see below), whose sum is σ = 29286700184. Its totient is φ = 2699234880.

The previous prime is 10122131081. The next prime is 10122131119. The reversal of 10122131100 is 113122101.

It is an interprime number because it is at equal distance from previous prime (10122131081) and next prime (10122131119).

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

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 11 ways as a sum of consecutive naturals, for example, 16869919 + ... + 16870518.

Almost surely, 210122131100 is an apocalyptic number.

10122131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122131100 is an abundant number, since it is smaller than the sum of its proper divisors (19164569084).

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

10122131100 is a wasteful number, since it uses less digits than its factorization.

10122131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33740454 (or 33740447 counting only the distinct ones).

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

Adding to 10122131100 its reverse (113122101), we get a palindrome (10235253201).

The spelling of 10122131100 in words is "ten billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 33740437 67480874 101221311 134961748 168702185 202442622 337404370 404885244 506106555 674808740 843510925 1012213110 1687021850 2024426220 2530532775 3374043700 5061065550 10122131100