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12513531200 = 26527820957
BaseRepresentation
bin10111010011101110…
…10101010101000000
31012022002102020201112
423221313111111000
5201111430444300
65425412222452
7622045155152
oct135167252500
935262366645
1012513531200
115341620225
12251290aa28
131245676841
14869cd6ad2
154d38ace35
hex2e9dd5540

12513531200 has 42 divisors (see below), whose sum is σ = 30791111646. Its totient is φ = 5005411840.

The previous prime is 12513531197. The next prime is 12513531221. The reversal of 12513531200 is 213531521.

It is a happy number.

12513531200 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 3641398336 + 8872132864 = 60344^2 + 94192^2 .

It is a congruent number.

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, 3908879 + ... + 3912078.

Almost surely, 212513531200 is an apocalyptic number.

12513531200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12513531200 is an abundant number, since it is smaller than the sum of its proper divisors (18277580446).

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

12513531200 is an equidigital number, since it uses as much as digits as its factorization.

12513531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820979 (or 7820964 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 12513531200 in words is "twelve billion, five hundred thirteen million, five hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 7820957 15641914 31283828 39104785 62567656 78209570 125135312 156419140 195523925 250270624 312838280 391047850 500541248 625676560 782095700 1251353120 1564191400 2502706240 3128382800 6256765600 12513531200