15413303242200 has 192 divisors, whose sum is σ = 50596011603360. Its totient is φ = 3868122603520.

The previous prime is 15413303242171. The next prime is 15413303242231. The reversal of 15413303242200 is 224230331451.

15413303242200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141490954 + ... + 141599846.

Almost surely, 2^{15413303242200} is an apocalyptic number.

15413303242200 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 15413303242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25298005801680).

15413303242200 is an abundant number, since it is smaller than the sum of its proper divisors (35182708361160).

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

15413303242200 is a wasteful number, since it uses less digits than its factorization.

15413303242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122806 (or 122797 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 15413303242200 its reverse (224230331451), we get a palindrome (15637533573651).

The spelling of 15413303242200 in words is "fifteen trillion, four hundred thirteen billion, three hundred three million, two hundred forty-two thousand, two hundred".