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12243130400 = 255215303913
BaseRepresentation
bin10110110011011111…
…10101100000100000
31011121020121110120002
423121233311200200
5200033220133100
65342512435132
7612252614504
oct133157654040
934536543502
1012243130400
115212a23096
122458248aa8
131201640477
1484202a304
154b9c992d5
hex2d9bf5820

12243130400 has 36 divisors (see below), whose sum is σ = 29888544042. Its totient is φ = 4897251840.

The previous prime is 12243130387. The next prime is 12243130451. The reversal of 12243130400 is 403134221.

12243130400 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 3 ways, for example, as 11986746256 + 256384144 = 109484^2 + 16012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 7651157 + ... + 7652756.

Almost surely, 212243130400 is an apocalyptic number.

12243130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243130400 is an abundant number, since it is smaller than the sum of its proper divisors (17645413642).

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

12243130400 is a wasteful number, since it uses less digits than its factorization.

12243130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303933 (or 15303920 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12243130400 its reverse (403134221), we get a palindrome (12646264621).

The spelling of 12243130400 in words is "twelve billion, two hundred forty-three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15303913 30607826 61215652 76519565 122431304 153039130 244862608 306078260 382597825 489725216 612156520 765195650 1224313040 1530391300 2448626080 3060782600 6121565200 12243130400