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13220310312 = 23321135347287
BaseRepresentation
bin11000100111111110…
…11110110100101000
31021010100100100101200
430103333132310220
5204033344412222
610023501044200
7645416532516
oct142377366450
937110310350
1013220310312
11567457a8a0
12268b556660
131328c1a731
148d5b174b6
1552596deac
hex313fded28

13220310312 has 96 divisors (see below), whose sum is σ = 39171487680. Its totient is φ = 3994721280.

The previous prime is 13220310283. The next prime is 13220310329. The reversal of 13220310312 is 21301302231.

13220310312 is a `hidden beast` number, since 1 + 322 + 0 + 31 + 0 + 312 = 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, 255933 + ... + 303219.

It is an arithmetic number, because the mean of its divisors is an integer number (408036330).

Almost surely, 213220310312 is an apocalyptic number.

13220310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585743840).

13220310312 is an abundant number, since it is smaller than the sum of its proper divisors (25951177368).

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

13220310312 is a wasteful number, since it uses less digits than its factorization.

13220310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47663 (or 47656 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13220310312 its reverse (21301302231), we get a palindrome (34521612543).

The spelling of 13220310312 in words is "thirteen billion, two hundred twenty million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 353 396 706 792 1059 1412 2118 2824 3177 3883 4236 6354 7766 8472 11649 12708 15532 23298 25416 31064 34947 46596 47287 69894 93192 94574 139788 141861 189148 279576 283722 378296 425583 520157 567444 851166 1040314 1134888 1560471 1702332 2080628 3120942 3404664 4161256 4681413 6241884 9362826 12483768 16692311 18725652 33384622 37451304 50076933 66769244 100153866 133538488 150230799 183615421 200307732 300461598 367230842 400615464 550846263 600923196 734461684 1101692526 1201846392 1468923368 1652538789 2203385052 3305077578 4406770104 6610155156 13220310312