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12413344200 = 2335220688907
BaseRepresentation
bin10111000111110010…
…01001100111001000
31012001002220012222220
423203321021213020
5200410304003300
65411433014040
7616420453605
oct134371114710
935032805886
1012413344200
1152a0011254
1224a5254320
13122a998baa
1485a8976ac
154c9bbcda0
hex2e3e499c8

12413344200 has 48 divisors (see below), whose sum is σ = 38481368880. Its totient is φ = 3310224960.

The previous prime is 12413344187. The next prime is 12413344231. The reversal of 12413344200 is 244331421.

12413344200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124133442002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10343854 + ... + 10345053.

It is an arithmetic number, because the mean of its divisors is an integer number (801695185).

Almost surely, 212413344200 is an apocalyptic number.

12413344200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12413344200 is an abundant number, since it is smaller than the sum of its proper divisors (26068024680).

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

12413344200 is a wasteful number, since it uses less digits than its factorization.

12413344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20688926 (or 20688917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12413344200 its reverse (244331421), we get a palindrome (12657675621).

The spelling of 12413344200 in words is "twelve billion, four hundred thirteen million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20688907 41377814 62066721 82755628 103444535 124133442 165511256 206889070 248266884 310333605 413778140 496533768 517222675 620667210 827556280 1034445350 1241334420 1551668025 2068890700 2482668840 3103336050 4137781400 6206672100 12413344200