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12243331314 = 2321574332389
BaseRepresentation
bin10110110011100001…
…00110100011110010
31011121020222200011100
423121300212203302
5200033243100224
65342521025230
7612254412324
oct133160464362
934536880140
1012243331314
115213050035
122458325216
1312016b0a56
1484207d614
154b9cd8ac9
hex2d9c268f2

12243331314 has 24 divisors (see below), whose sum is σ = 26696187180. Its totient is φ = 4055115168.

The previous prime is 12243331307. The next prime is 12243331361. The reversal of 12243331314 is 41313334221.

It is a happy number.

12243331314 is a `hidden beast` number, since 12 + 2 + 4 + 3 + 331 + 314 = 666.

12243331314 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 10093618089 + 2149713225 = 100467^2 + 46365^2 .

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 11 ways as a sum of consecutive naturals, for example, 2163369 + ... + 2169020.

Almost surely, 212243331314 is an apocalyptic number.

12243331314 is an abundant number, since it is smaller than the sum of its proper divisors (14452855866).

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

12243331314 is a wasteful number, since it uses less digits than its factorization.

12243331314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332554 (or 4332551 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 12243331314 its reverse (41313334221), we get a palindrome (53556665535).

The spelling of 12243331314 in words is "twelve billion, two hundred forty-three million, three hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 4332389 8664778 12997167 25994334 38991501 77983002 680185073 1360370146 2040555219 4081110438 6121665657 12243331314