30330002400100 has 144 divisors (see below), whose sum is σ = 73797932786256. Its totient is φ = 10746519552000.

The previous prime is 30330002400073. The next prime is 30330002400101. The reversal of 30330002400100 is 100420003303.

It can be written as a sum of positive squares in 24 ways, for example, as 28211161170724 + 2118841229376 = 5311418^2 + 1455624^2 .

It is not an unprimeable number, because it can be changed into a prime (30330002400101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412989 + ... + 7915588.

It is an arithmetic number, because the mean of its divisors is an integer number (512485644349).

Almost surely, 2^{30330002400100} is an apocalyptic number.

It is an amenable number.

30330002400100 is an abundant number, since it is smaller than the sum of its proper divisors (43467930386156).

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

30330002400100 is a wasteful number, since it uses less digits than its factorization.

30330002400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9328706 (or 9328699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30330002400100 its reverse (100420003303), we get a palindrome (30430422403403).

The spelling of 30330002400100 in words is "thirty trillion, three hundred thirty billion, two million, four hundred thousand, one hundred".