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13131211212 = 2233783209269
BaseRepresentation
bin11000011101010111…
…00110000111001100
31020220010200122102000
430032223212013030
5203343042224322
610010555232300
7643255311420
oct141653460714
936803618360
1013131211212
115629254379
122665748690
131313622882
148c7d62b80
1551cc1e3ac
hex30eae61cc

13131211212 has 96 divisors (see below), whose sum is σ = 39376243200. Its totient is φ = 3706554816.

The previous prime is 13131211207. The next prime is 13131211241. The reversal of 13131211212 is 21211213131.

13131211212 is a `hidden beast` number, since 131 + 312 + 11 + 212 = 666.

13131211212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 41887 + ... + 167382.

It is an arithmetic number, because the mean of its divisors is an integer number (410169200).

Almost surely, 213131211212 is an apocalyptic number.

13131211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131211212 is an abundant number, since it is smaller than the sum of its proper divisors (26245031988).

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

13131211212 is a wasteful number, since it uses less digits than its factorization.

13131211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209372 (or 209364 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 13131211212 its reverse (21211213131), we get a palindrome (34342424343).

The spelling of 13131211212 in words is "thirteen billion, one hundred thirty-one million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 747 756 996 1162 1494 1743 2241 2324 2988 3486 4482 5229 6972 8964 10458 15687 20916 31374 62748 209269 418538 627807 837076 1255614 1464883 1883421 2511228 2929766 3766842 4394649 5650263 5859532 7533684 8789298 11300526 13183947 17369327 17578596 22601052 26367894 34738654 39551841 52107981 52735788 69477308 79103682 104215962 121585289 156323943 158207364 208431924 243170578 312647886 364755867 468971829 486341156 625295772 729511734 937943658 1094267601 1459023468 1875887316 2188535202 3282802803 4377070404 6565605606 13131211212