30013102400 has 84 divisors (see below), whose sum is σ = 74382843360. Its totient is φ = 11918784000.

The previous prime is 30013102381. The next prime is 30013102429. The reversal of 30013102400 is 420131003.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 154925 + ... + 289875.

It is an arithmetic number, because the mean of its divisors is an integer number (885510040).

Almost surely, 2^30013102400 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 30013102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37191421680).

30013102400 is an abundant number, since it is smaller than the sum of its proper divisors (44369740960).

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

30013102400 is a wasteful number, since it uses less digits than its factorization.

30013102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135112 (or 135097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 30013102400 its reverse (420131003), we get a palindrome (30433233403).

The spelling of 30013102400 in words is "thirty billion, thirteen million, one hundred two thousand, four hundred".