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13531186130 = 25711411133793
BaseRepresentation
bin11001001101000010…
…11000001111010010
31021221000022110211212
430212201120033102
5210202440424010
610114404140122
7656213120150
oct144641301722
937830273755
1013531186130
115814002460
122757697642
131378455917
1492511c3d0
15542dca505
hex3268583d2

13531186130 has 128 divisors (see below), whose sum is σ = 31390281216. Its totient is φ = 4077158400.

The previous prime is 13531186127. The next prime is 13531186133. The reversal of 13531186130 is 3168113531.

It is an interprime number because it is at equal distance from previous prime (13531186127) and next prime (13531186133).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13531186133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3565514 + ... + 3569306.

It is an arithmetic number, because the mean of its divisors is an integer number (245236572).

Almost surely, 213531186130 is an apocalyptic number.

13531186130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13531186130 is an abundant number, since it is smaller than the sum of its proper divisors (17859095086).

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

13531186130 is a wasteful number, since it uses less digits than its factorization.

13531186130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972.

The product of its (nonzero) digits is 6480, while the sum is 32.

Adding to 13531186130 its reverse (3168113531), we get a palindrome (16699299661).

The spelling of 13531186130 in words is "thirteen billion, five hundred thirty-one million, one hundred eighty-six thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 41 55 70 77 82 110 113 154 205 226 287 385 410 451 565 574 770 791 902 1130 1243 1435 1582 2255 2486 2870 3157 3793 3955 4510 4633 6215 6314 7586 7910 8701 9266 12430 15785 17402 18965 23165 26551 31570 32431 37930 41723 43505 46330 50963 53102 64862 83446 87010 101926 132755 155513 162155 208615 254815 265510 292061 311026 324310 356741 417230 428609 509630 584122 713482 777565 857218 1088591 1460305 1555130 1710643 1783705 2143045 2177182 2920610 3000263 3421286 3567410 4286090 4714699 5442955 6000526 8553215 9429398 10885910 11974501 15001315 17106430 17572969 23573495 23949002 30002630 33002893 35145938 47146990 59872505 66005786 87864845 119745010 123010783 165014465 175729690 193302659 246021566 330028930 386605318 615053915 966513295 1230107830 1353118613 1933026590 2706237226 6765593065 13531186130