30224412440100 has 432 divisors, whose sum is σ = 100060185738240. Its totient is φ = 7615890374400.

The previous prime is 30224412440099. The next prime is 30224412440111. The reversal of 30224412440100 is 104421442203.

30224412440100 is a `hidden beast` number, since 3 + 0 + 2 + 244 + 12 + 4 + 401 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 795130095 + ... + 795168105.

It is an arithmetic number, because the mean of its divisors is an integer number (231620800320).

Almost surely, 2^{30224412440100} is an apocalyptic number.

30224412440100 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 30224412440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50030092869120).

30224412440100 is an abundant number, since it is smaller than the sum of its proper divisors (69835773298140).

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

30224412440100 is a wasteful number, since it uses less digits than its factorization.

30224412440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38520 (or 38510 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 30224412440100 its reverse (104421442203), we get a palindrome (30328833882303).

The spelling of 30224412440100 in words is "thirty trillion, two hundred twenty-four billion, four hundred twelve million, four hundred forty thousand, one hundred".