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12813085300 = 2252177537109
BaseRepresentation
bin10111110111011100…
…00010101001110100
31020001222002011200211
423323232002221310
5202220122212200
65515232515204
7632343266551
oct137356025164
936058064624
1012813085300
11548571a6a4
1225970abb04
1312927496a2
148979d1a28
154eed2eaba
hex2fbb82a74

12813085300 has 36 divisors (see below), whose sum is σ = 29439951660. Its totient is φ = 4823749120.

The previous prime is 12813085297. The next prime is 12813085301. The reversal of 12813085300 is 358031821.

It can be written as a sum of positive squares in 6 ways, for example, as 686230416 + 12126854884 = 26196^2 + 110122^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813085301) by changing a digit.

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, 3766855 + ... + 3770254.

It is an arithmetic number, because the mean of its divisors is an integer number (817776435).

Almost surely, 212813085300 is an apocalyptic number.

12813085300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12813085300 is an abundant number, since it is smaller than the sum of its proper divisors (16626866360).

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

12813085300 is a wasteful number, since it uses less digits than its factorization.

12813085300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537140 (or 7537133 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 12813085300 in words is "twelve billion, eight hundred thirteen million, eighty-five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7537109 15074218 30148436 37685545 75371090 128130853 150742180 188427725 256261706 376855450 512523412 640654265 753710900 1281308530 2562617060 3203271325 6406542650 12813085300