30244220100 has 288 divisors, whose sum is σ = 99337392000. Its totient is φ = 7891637760.

The previous prime is 30244220029. The next prime is 30244220113. The reversal of 30244220100 is 102244203.

30244220100 is a `hidden beast` number, since 302 + 44 + 220 + 100 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59418646 + ... + 59419154.

It is an arithmetic number, because the mean of its divisors is an integer number (344921500).

Almost surely, 2^30244220100 is an apocalyptic number.

30244220100 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 30244220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49668696000).

30244220100 is an abundant number, since it is smaller than the sum of its proper divisors (69093171900).

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

30244220100 is a wasteful number, since it uses less digits than its factorization.

30244220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30244220100 its reverse (102244203), we get a palindrome (30346464303).

The spelling of 30244220100 in words is "thirty billion, two hundred forty-four million, two hundred twenty thousand, one hundred".