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10122131130 = 2353797971117
BaseRepresentation
bin10010110110101001…
…10111011010111010
3222010102120112112120
421123110313122322
5131212231144010
64352224222110
7505556460246
oct113324673272
928112515476
1010122131130
114324751a31
121b65a6a936
13c540ac407
146c0475426
153e3984e70
hex25b5376ba

10122131130 has 64 divisors (see below), whose sum is σ = 24409607040. Its totient is φ = 2686328064.

The previous prime is 10122131119. The next prime is 10122131137. The reversal of 10122131130 is 3113122101.

It is a happy number.

It is a super-2 number, since 2×101221311302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10122131137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9061332 + ... + 9062448.

It is an arithmetic number, because the mean of its divisors is an integer number (381400110).

Almost surely, 210122131130 is an apocalyptic number.

10122131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122131130 is an abundant number, since it is smaller than the sum of its proper divisors (14287475910).

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

10122131130 is a wasteful number, since it uses less digits than its factorization.

10122131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10122131130 its reverse (3113122101), we get a palindrome (13235253231).

The spelling of 10122131130 in words is "ten billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 379 758 797 1117 1137 1594 1895 2234 2274 2391 3351 3790 3985 4782 5585 5685 6702 7970 11170 11370 11955 16755 23910 33510 302063 423343 604126 846686 890249 906189 1270029 1510315 1780498 1812378 2116715 2540058 2670747 3020630 4233430 4451245 4530945 5341494 6350145 8902490 9061890 12700290 13353735 26707470 337404371 674808742 1012213113 1687021855 2024426226 3374043710 5061065565 10122131130