Search a number
-
+
13521313220 = 2252959339313
BaseRepresentation
bin11001001011110111…
…01101110111000100
31021220022201212202112
430211323231313010
5210142424010340
610113412400152
7656033160152
oct144573556704
937808655675
1013521313220
115809479828
122754316058
1313763a9b6c
14923aac3d2
155420ca065
hex325eeddc4

13521313220 has 48 divisors (see below), whose sum is σ = 29424170160. Its totient is φ = 5213085696.

The previous prime is 13521313217. The next prime is 13521313243. The reversal of 13521313220 is 2231312531.

It can be written as a sum of positive squares in 8 ways, for example, as 63457156 + 13457856064 = 7966^2 + 116008^2 .

It is a super-2 number, since 2×135213132202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324284 + ... + 363596.

It is an arithmetic number, because the mean of its divisors is an integer number (613003545).

Almost surely, 213521313220 is an apocalyptic number.

13521313220 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 13521313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712085080).

13521313220 is an abundant number, since it is smaller than the sum of its proper divisors (15902856940).

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

13521313220 is a wasteful number, since it uses less digits than its factorization.

13521313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39944 (or 39942 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 13521313220 its reverse (2231312531), we get a palindrome (15752625751).

The spelling of 13521313220 in words is "thirteen billion, five hundred twenty-one million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 593 1186 2372 2965 5930 11860 17197 34394 39313 68788 78626 85985 157252 171970 196565 343940 393130 786260 1140077 2280154 4560308 5700385 11400770 22801540 23312609 46625218 93250436 116563045 233126090 466252180 676065661 1352131322 2704262644 3380328305 6760656610 13521313220