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13203130000 = 24541936841
BaseRepresentation
bin11000100101111011…
…11100011010010000
31021002011000111102211
430102331330122100
5204020000130000
610022044521504
7645120516244
oct142275743220
937064014384
1013203130000
115665905a95
122685850294
1313254b3878
148d3724424
155241c87ba
hex312f7c690

13203130000 has 100 divisors (see below), whose sum is σ = 32136422428. Its totient is φ = 5253120000.

The previous prime is 13203129983. The next prime is 13203130049. The reversal of 13203130000 is 3130231.

13203130000 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 10 ways, for example, as 10143712656 + 3059417344 = 100716^2 + 55312^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 1926580 + ... + 1933420.

Almost surely, 213203130000 is an apocalyptic number.

13203130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13203130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068211214).

13203130000 is an abundant number, since it is smaller than the sum of its proper divisors (18933292428).

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

13203130000 is an equidigital number, since it uses as much as digits as its factorization.

13203130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7062 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13203130000 its reverse (3130231), we get a palindrome (13206260231).

The spelling of 13203130000 in words is "thirteen billion, two hundred three million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 625 772 965 1000 1250 1544 1930 2000 2500 3088 3860 4825 5000 6841 7720 9650 10000 13682 15440 19300 24125 27364 34205 38600 48250 54728 68410 77200 96500 109456 120625 136820 171025 193000 241250 273640 342050 386000 482500 547280 684100 855125 965000 1320313 1368200 1710250 1930000 2640626 2736400 3420500 4275625 5281252 6601565 6841000 8551250 10562504 13203130 13682000 17102500 21125008 26406260 33007825 34205000 52812520 66015650 68410000 105625040 132031300 165039125 264062600 330078250 528125200 660156500 825195625 1320313000 1650391250 2640626000 3300782500 6601565000 13203130000