Search a number
-
+
13531110304 = 25532150533
BaseRepresentation
bin11001001101000010…
…00101101110100000
31021221000011121211111
430212201011232200
5210202431012204
610114402353104
7656212353115
oct144641055640
937830147744
1013531110304
115813a60498
12275765b794
13137842a25a
149250dc90c
15542db2d04
hex326845ba0

13531110304 has 36 divisors (see below), whose sum is σ = 27151667046. Its totient is φ = 6637859072.

The previous prime is 13531110293. The next prime is 13531110317. The reversal of 13531110304 is 40301113531.

It can be written as a sum of positive squares in 3 ways, for example, as 13468066704 + 63043600 = 116052^2 + 7940^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14622 + ... + 165154.

Almost surely, 213531110304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575833523).

13531110304 is an abundant number, since it is smaller than the sum of its proper divisors (13620556742).

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

13531110304 is an equidigital number, since it uses as much as digits as its factorization.

13531110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150649 (or 150588 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 13531110304 its reverse (40301113531), we get a palindrome (53832223835).

The spelling of 13531110304 in words is "thirteen billion, five hundred thirty-one million, one hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2809 5618 11236 22472 44944 89888 150533 301066 602132 1204264 2408528 4817056 7978249 15956498 31912996 63825992 127651984 255303968 422847197 845694394 1691388788 3382777576 6765555152 13531110304