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13252312300 = 22521135212251
BaseRepresentation
bin11000101011110011…
…00011110011101100
31021012120120012212111
430111321203303230
5204120042443200
610031003013404
7646255540003
oct142571436354
937176505774
1013252312300
115690648417
12269a20a264
131332743a16
148da087c3a
155286910ba
hex315e63cec

13252312300 has 72 divisors (see below), whose sum is σ = 29080607472. Its totient is φ = 5241600000.

The previous prime is 13252312193. The next prime is 13252312303. The reversal of 13252312300 is 321325231.

It is not an unprimeable number, because it can be changed into a prime (13252312303) 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 23 ways as a sum of consecutive naturals, for example, 5886175 + ... + 5888425.

It is an arithmetic number, because the mean of its divisors is an integer number (403897326).

Almost surely, 213252312300 is an apocalyptic number.

13252312300 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 13252312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14540303736).

13252312300 is an abundant number, since it is smaller than the sum of its proper divisors (15828295172).

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

13252312300 is a wasteful number, since it uses less digits than its factorization.

13252312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 13252312300 its reverse (321325231), we get a palindrome (13573637531).

The spelling of 13252312300 in words is "thirteen billion, two hundred fifty-two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 521 565 1042 1130 2084 2251 2260 2605 2825 4502 5210 5650 9004 10420 11255 11300 13025 22510 26050 45020 52100 56275 58873 112550 117746 225100 235492 254363 294365 508726 588730 1017452 1172771 1177460 1271815 1471825 2345542 2543630 2943650 4691084 5087260 5863855 5887300 6359075 11727710 12718150 23455420 25436300 29319275 58638550 117277100 132523123 265046246 530092492 662615615 1325231230 2650462460 3313078075 6626156150 13252312300