Search a number
-
+
13221231300 = 223252109307439
BaseRepresentation
bin11000101000000101…
…11111101011000100
31021010102002010202100
430110002333223010
5204034113400200
610023532512100
7645430416564
oct142402775304
937112063670
1013221231300
115675049842
12268b91b630
1313291809b4
148d5cb6da4
15525aa1d00
hex3140bfac4

13221231300 has 216 divisors, whose sum is σ = 42053211200. Its totient is φ = 3474005760.

The previous prime is 13221231299. The next prime is 13221231379. The reversal of 13221231300 is 313212231.

13221231300 is a `hidden beast` number, since 1 + 322 + 12 + 31 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30116481 + ... + 30116919.

Almost surely, 213221231300 is an apocalyptic number.

13221231300 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 13221231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026605600).

13221231300 is an abundant number, since it is smaller than the sum of its proper divisors (28831979900).

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

13221231300 is a wasteful number, since it uses less digits than its factorization.

13221231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13221231300 its reverse (313212231), we get a palindrome (13534443531).

The spelling of 13221231300 in words is "thirteen billion, two hundred twenty-one million, two hundred thirty-one thousand, three hundred".