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12244424130 = 234515116573
BaseRepresentation
bin10110110011101001…
…10001010111000010
31011121100001012020000
423121310301113002
5200034033033010
65343000300430
7612266613351
oct133164612702
934540035200
1012244424130
115213727094
122458771716
1312019a42a3
14842285998
154b9e527c0
hex2d9d315c2

12244424130 has 40 divisors (see below), whose sum is σ = 32923898172. Its totient is φ = 3265179552.

The previous prime is 12244424123. The next prime is 12244424149. The reversal of 12244424130 is 3142444221.

12244424130 is a `hidden beast` number, since 1 + 2 + 244 + 4 + 2 + 413 + 0 = 666.

12244424130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12196772721 + 47651409 = 110439^2 + 6903^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12244424094 and 12244424103.

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 19 ways as a sum of consecutive naturals, for example, 7557477 + ... + 7559096.

Almost surely, 212244424130 is an apocalyptic number.

12244424130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12244424130 is an abundant number, since it is smaller than the sum of its proper divisors (20679474042).

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

12244424130 is a wasteful number, since it uses less digits than its factorization.

12244424130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15116592 (or 15116583 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12244424130 its reverse (3142444221), we get a palindrome (15386868351).

The spelling of 12244424130 in words is "twelve billion, two hundred forty-four million, four hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 15116573 30233146 45349719 75582865 90699438 136049157 151165730 226748595 272098314 408147471 453497190 680245785 816294942 1224442413 1360491570 2040737355 2448884826 4081474710 6122212065 12244424130