30330214004100 has 144 divisors (see below), whose sum is σ = 91630715258880. Its totient is φ = 7731346550400.

The previous prime is 30330214004029. The next prime is 30330214004113. The reversal of 30330214004100 is 140041203303.

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 47 ways as a sum of consecutive naturals, for example, 9128341 + ... + 11999459.

It is an arithmetic number, because the mean of its divisors is an integer number (636324411520).

Almost surely, 2^{30330214004100} is an apocalyptic number.

30330214004100 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 30330214004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45815357629440).

30330214004100 is an abundant number, since it is smaller than the sum of its proper divisors (61300501254780).

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

30330214004100 is a wasteful number, since it uses less digits than its factorization.

30330214004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872690 (or 2872683 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30330214004100 its reverse (140041203303), we get a palindrome (30470255207403).

The spelling of 30330214004100 in words is "thirty trillion, three hundred thirty billion, two hundred fourteen million, four thousand, one hundred".