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10122130120 = 2351391820527
BaseRepresentation
bin10010110110101001…
…10111001011001000
3222010102120111011011
421123110313023020
5131212231130440
64352224213304
7505556454304
oct113324671310
928112514134
1010122130120
1143247511a3
121b65a6a234
13c540abb0b
146c0474d04
153e39849ea
hex25b5372c8

10122130120 has 32 divisors (see below), whose sum is σ = 22938652800. Its totient is φ = 4019721408.

The previous prime is 10122130049. The next prime is 10122130189. The reversal of 10122130120 is 2103122101.

10122130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101221301202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10122130120.

It is an unprimeable number.

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, 904704 + ... + 915823.

It is an arithmetic number, because the mean of its divisors is an integer number (716832900).

Almost surely, 210122130120 is an apocalyptic number.

10122130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122130120 is an abundant number, since it is smaller than the sum of its proper divisors (12816522680).

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

10122130120 is a wasteful number, since it uses less digits than its factorization.

10122130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820677 (or 1820673 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10122130120 its reverse (2103122101), we get a palindrome (12225252221).

The spelling of 10122130120 in words is "ten billion, one hundred twenty-two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 695 1112 1390 2780 5560 1820527 3641054 7282108 9102635 14564216 18205270 36410540 72821080 253053253 506106506 1012213012 1265266265 2024426024 2530532530 5061065060 10122130120