30220233011100 has 576 divisors, whose sum is σ = 107239161254400. Its totient is φ = 7239488256000.

The previous prime is 30220233011081. The next prime is 30220233011123. The reversal of 30220233011100 is 111033202203.

30220233011100 is a `hidden beast` number, since 3 + 0 + 220 + 2 + 330 + 1 + 110 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7958974402 + ... + 7958978198.

It is an arithmetic number, because the mean of its divisors is an integer number (186179099400).

Almost surely, 2^{30220233011100} is an apocalyptic number.

30220233011100 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 30220233011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53619580627200).

30220233011100 is an abundant number, since it is smaller than the sum of its proper divisors (77018928243300).

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

30220233011100 is a wasteful number, since it uses less digits than its factorization.

30220233011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6918 counting only the distinct ones).

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

Adding to 30220233011100 its reverse (111033202203), we get a palindrome (30331266213303).

The spelling of 30220233011100 in words is "thirty trillion, two hundred twenty billion, two hundred thirty-three million, eleven thousand, one hundred".