30013183200 has 1296 divisors, whose sum is σ = 136280527488. Its totient is φ = 5571072000.

The previous prime is 30013183163. The next prime is 30013183229. The reversal of 30013183200 is 238131003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 968167185 + ... + 968167215.

It is an arithmetic number, because the mean of its divisors is an integer number (105154728).

Almost surely, 2^30013183200 is an apocalyptic number.

30013183200 is a gapful number since it is divisible by the number (30) 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 30013183200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140263744).

30013183200 is an abundant number, since it is smaller than the sum of its proper divisors (106267344288).

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

30013183200 is a wasteful number, since it uses less digits than its factorization.

30013183200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 30013183200 in words is "thirty billion, thirteen million, one hundred eighty-three thousand, two hundred".