30444112100 has 72 divisors (see below), whose sum is σ = 67636296000. Its totient is φ = 11890556800.

The previous prime is 30444112093. The next prime is 30444112147. The reversal of 30444112100 is 121144403.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861785 + ... + 896415.

It is an arithmetic number, because the mean of its divisors is an integer number (939393000).

Almost surely, 2^30444112100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30444112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33818148000).

30444112100 is an abundant number, since it is smaller than the sum of its proper divisors (37192183900).

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

30444112100 is a wasteful number, since it uses less digits than its factorization.

30444112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34853 (or 34846 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 30444112100 its reverse (121144403), we get a palindrome (30565256503).

The spelling of 30444112100 in words is "thirty billion, four hundred forty-four million, one hundred twelve thousand, one hundred".