30113202202200 has 288 divisors, whose sum is σ = 108920042212800. Its totient is φ = 7411757230080.

The previous prime is 30113202202189. The next prime is 30113202202201. The reversal of 30113202202200 is 220220231103.

30113202202200 is a `hidden beast` number, since 301 + 1 + 320 + 2 + 20 + 2 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30113202202201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 263356641 + ... + 263470959.

Almost surely, 2^{30113202202200} is an apocalyptic number.

30113202202200 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 30113202202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54460021106400).

30113202202200 is an abundant number, since it is smaller than the sum of its proper divisors (78806840010600).

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

30113202202200 is a wasteful number, since it uses less digits than its factorization.

30113202202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125611 (or 125599 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30113202202200 its reverse (220220231103), we get a palindrome (30333422433303).

The spelling of 30113202202200 in words is "thirty trillion, one hundred thirteen billion, two hundred two million, two hundred two thousand, two hundred".