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13311131130 = 23251113445587
BaseRepresentation
bin11000110010110011…
…11011110111111010
31021100200020112010200
430121121323313322
5204230122144010
610040503423030
7650601514323
oct143131736772
937320215120
1013311131130
115710871920
1226b5a54a76
13134199916b
14903bd944a
1552d90dcc0
hex31967bdfa

13311131130 has 48 divisors (see below), whose sum is σ = 37755211104. Its totient is φ = 3226940640.

The previous prime is 13311131123. The next prime is 13311131147. The reversal of 13311131130 is 3113111331.

13311131130 is a `hidden beast` number, since 13 + 311 + 1 + 311 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6721804 + ... + 6723783.

It is an arithmetic number, because the mean of its divisors is an integer number (786566898).

Almost surely, 213311131130 is an apocalyptic number.

13311131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13311131130 is an abundant number, since it is smaller than the sum of its proper divisors (24444079974).

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

13311131130 is a wasteful number, since it uses less digits than its factorization.

13311131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13445611 (or 13445608 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13311131130 its reverse (3113111331), we get a palindrome (16424242461).

It can be divided in two parts, 13311 and 131130, that added together give a palindrome (144441).

The spelling of 13311131130 in words is "thirteen billion, three hundred eleven million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 13445587 26891174 40336761 67227935 80673522 121010283 134455870 147901457 201683805 242020566 295802914 403367610 443704371 605051415 739507285 887408742 1210102830 1331113113 1479014570 2218521855 2662226226 4437043710 6655565565 13311131130