30231101032200 has 384 divisors, whose sum is σ = 106044904656000. Its totient is φ = 7913846707200.

The previous prime is 30231101032177. The next prime is 30231101032211. The reversal of 30231101032200 is 223010113203.

30231101032200 is a `hidden beast` number, since 30 + 2 + 311 + 0 + 1 + 0 + 322 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167574447 + ... + 167754753.

It is an arithmetic number, because the mean of its divisors is an integer number (276158605875).

Almost surely, 2^{30231101032200} is an apocalyptic number.

30231101032200 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 30231101032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53022452328000).

30231101032200 is an abundant number, since it is smaller than the sum of its proper divisors (75813803623800).

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

30231101032200 is a wasteful number, since it uses less digits than its factorization.

30231101032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180902 (or 180887 counting only the distinct ones).

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

Adding to 30231101032200 its reverse (223010113203), we get a palindrome (30454111145403).

The spelling of 30231101032200 in words is "thirty trillion, two hundred thirty-one billion, one hundred one million, thirty-two thousand, two hundred".