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13215631300 = 2252103212457
BaseRepresentation
bin11000100111011011…
…01000011111000100
31021010000112121222221
430103231220133010
5204031200200200
610023212502124
7645332004214
oct142355503704
937100477887
1013215631300
115671974443
122689a7a944
131327c6caa1
148d525a244
1552534791a
hex313b687c4

13215631300 has 54 divisors (see below), whose sum is σ = 28961374218. Its totient is φ = 5234509440.

The previous prime is 13215631291. The next prime is 13215631301. The reversal of 13215631300 is 313651231.

13215631300 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 2264427396 + 10951203904 = 47586^2 + 104648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13215631301) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1054672 + ... + 1067128.

Almost surely, 213215631300 is an apocalyptic number.

13215631300 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 13215631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480687109).

13215631300 is an abundant number, since it is smaller than the sum of its proper divisors (15745742918).

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

13215631300 is a wasteful number, since it uses less digits than its factorization.

13215631300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12677 (or 12567 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The spelling of 13215631300 in words is "thirteen billion, two hundred fifteen million, six hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 10609 12457 21218 24914 42436 49828 53045 62285 106090 124570 212180 249140 265225 311425 530450 622850 1060900 1245700 1283071 2566142 5132284 6415355 12830710 25661420 32076775 64153550 128307100 132156313 264312626 528625252 660781565 1321563130 2643126260 3303907825 6607815650 13215631300