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13312212312 = 2337671182677
BaseRepresentation
bin11000110010111100…
…00011110101011000
31021100202021110020110
430121132003311120
5204230411243222
610040542524320
7650613636420
oct143136036530
937322243213
1013312212312
115711440163
1226b62966a0
131341c87309
14903ddb480
1552da7430c
hex319783d58

13312212312 has 64 divisors (see below), whose sum is σ = 38602609920. Its totient is φ = 3746717568.

The previous prime is 13312212283. The next prime is 13312212323. The reversal of 13312212312 is 21321221331.

13312212312 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 (21).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 580083 + ... + 602594.

It is an arithmetic number, because the mean of its divisors is an integer number (603165780).

Almost surely, 213312212312 is an apocalyptic number.

13312212312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13312212312 is an abundant number, since it is smaller than the sum of its proper divisors (25290397608).

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

13312212312 is a wasteful number, since it uses less digits than its factorization.

13312212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182760 (or 1182756 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 13312212312 its reverse (21321221331), we get a palindrome (34633433643).

The spelling of 13312212312 in words is "thirteen billion, three hundred twelve million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 1182677 2365354 3548031 4730708 7096062 8278739 9461416 14192124 16557478 24836217 28384248 33114956 49672434 66229912 79239359 99344868 158478718 198689736 237718077 316957436 475436154 554675513 633914872 950872308 1109351026 1664026539 1901744616 2218702052 3328053078 4437404104 6656106156 13312212312