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13312102212 = 22321731701671
BaseRepresentation
bin11000110010111011…
…01000111101000100
31021100202001212012200
430121131220331010
5204230344232322
610040540314500
7650613000423
oct143135507504
937322055180
1013312102212
115711375472
1226b6242a30
131341c49176
14903dad2ba
1552da518ac
hex319768f44

13312102212 has 72 divisors (see below), whose sum is σ = 36778839552. Its totient is φ = 4041619200.

The previous prime is 13312102211. The next prime is 13312102247. The reversal of 13312102212 is 21220121331.

13312102212 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 not an unprimeable number, because it can be changed into a prime (13312102211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 331864 + ... + 369807.

It is an arithmetic number, because the mean of its divisors is an integer number (510817216).

Almost surely, 213312102212 is an apocalyptic number.

13312102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13312102212 is an abundant number, since it is smaller than the sum of its proper divisors (23466737340).

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

13312102212 is a wasteful number, since it uses less digits than its factorization.

13312102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701729 (or 701724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13312102212 its reverse (21220121331), we get a palindrome (34532223543).

The spelling of 13312102212 in words is "thirteen billion, three hundred twelve million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 9486 18972 701671 1403342 2105013 2806684 4210026 6315039 8420052 11928407 12630078 21751801 23856814 25260156 35785221 43503602 47713628 65255403 71570442 87007204 107355663 130510806 143140884 195766209 214711326 261021612 369780617 391532418 429422652 739561234 783064836 1109341851 1479122468 2218683702 3328025553 4437367404 6656051106 13312102212