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12220321113 = 32711133761601
BaseRepresentation
bin10110110000110001…
…10100110101011001
31011112122200122002200
423120120310311121
5200011400233423
65340335520413
7611555005230
oct133030646531
934478618080
1012220321113
115201064140
122450689109
1311c99b5450
1483cdadb17
154b7c90d43
hex2d8634d59

12220321113 has 192 divisors, whose sum is σ = 24780747264. Its totient is φ = 5598720000.

The previous prime is 12220321109. The next prime is 12220321147. The reversal of 12220321113 is 31112302221.

12220321113 is a `hidden beast` number, since 12 + 220 + 321 + 113 = 666.

12220321113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12220321113 - 22 = 12220321109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12220321313) 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 191 ways as a sum of consecutive naturals, for example, 20333013 + ... + 20333613.

It is an arithmetic number, because the mean of its divisors is an integer number (129066392).

Almost surely, 212220321113 is an apocalyptic number.

12220321113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12220321113 is an abundant number, since it is smaller than the sum of its proper divisors (12560426151).

12220321113 is a wasteful number, since it uses less digits than its factorization.

12220321113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 733 counting only the distinct ones).

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

Adding to 12220321113 its reverse (31112302221), we get a palindrome (43332623334).

It can be divided in two parts, 12220 and 321113, that added together give a palindrome (333333).

The spelling of 12220321113 in words is "twelve billion, two hundred twenty million, three hundred twenty-one thousand, one hundred thirteen".