Search a number
-
+
13076123130 = 2325720755751
BaseRepresentation
bin11000010110110010…
…11100110111111010
31020202022000212202200
430023121130313322
5203234441420010
610001310411030
7642016132650
oct141331346772
936668025680
1013076123130
115600148934
12264b200a76
1313050a5585
148c0902dd0
15517e8bcc0
hex30b65cdfa

13076123130 has 48 divisors (see below), whose sum is σ = 38854767744. Its totient is φ = 2988828000.

The previous prime is 13076123129. The next prime is 13076123147. The reversal of 13076123130 is 3132167031.

13076123130 is a `hidden beast` number, since 1 + 30 + 7 + 612 + 3 + 13 + 0 = 666.

It is a super-2 number, since 2×130761231302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13076123094 and 13076123103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10377246 + ... + 10378505.

It is an arithmetic number, because the mean of its divisors is an integer number (809474328).

Almost surely, 213076123130 is an apocalyptic number.

13076123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13076123130 is an abundant number, since it is smaller than the sum of its proper divisors (25778644614).

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

13076123130 is a wasteful number, since it uses less digits than its factorization.

13076123130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20755771 (or 20755768 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 13076123130 in words is "thirteen billion, seventy-six million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 20755751 41511502 62267253 103778755 124534506 145290257 186801759 207557510 290580514 311336265 373603518 435870771 622672530 726451285 871741542 934008795 1307612313 1452902570 1868017590 2179353855 2615224626 4358707710 6538061565 13076123130