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12334304200 = 235263739677
BaseRepresentation
bin10110111110010111…
…01000101111001000
31011211121011120111111
423133023220233020
5200230040213300
65355530540104
7614440566361
oct133713505710
934747146444
1012334304200
11525a436339
122482897634
1312174b376a
148501a0b68
154c2ca89ba
hex2df2e8bc8

12334304200 has 48 divisors (see below), whose sum is σ = 28684720980. Its totient is φ = 4932437760.

The previous prime is 12334304153. The next prime is 12334304237. The reversal of 12334304200 is 240343321.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7748576676 + 4585727524 = 88026^2 + 67718^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1269762 + ... + 1279438.

Almost surely, 212334304200 is an apocalyptic number.

12334304200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12334304200 is an abundant number, since it is smaller than the sum of its proper divisors (16350416780).

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

12334304200 is a wasteful number, since it uses less digits than its factorization.

12334304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16066 (or 16057 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12334304200 its reverse (240343321), we get a palindrome (12574647521).

The spelling of 12334304200 in words is "twelve billion, three hundred thirty-four million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 6373 9677 12746 19354 25492 31865 38708 48385 50984 63730 77416 96770 127460 159325 193540 241925 254920 318650 387080 483850 637300 967700 1274600 1935400 61671521 123343042 246686084 308357605 493372168 616715210 1233430420 1541788025 2466860840 3083576050 6167152100 12334304200