30345401240100 has 108 divisors (see below), whose sum is σ = 96675252774100. Its totient is φ = 7959449491200.

The previous prime is 30345401240093. The next prime is 30345401240111. The reversal of 30345401240100 is 104210454303.

It is a happy number.

30345401240100 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 5 + 401 + 240 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 921980199204 + 29423421040896 = 960198^2 + 5424336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276314875 + ... + 276424674.

Almost surely, 2^{30345401240100} is an apocalyptic number.

30345401240100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30345401240100 is an abundant number, since it is smaller than the sum of its proper divisors (66329851534000).

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

30345401240100 is a wasteful number, since it uses less digits than its factorization.

30345401240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552739630 (or 552739620 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 30345401240100 its reverse (104210454303), we get a palindrome (30449611694403).

The spelling of 30345401240100 in words is "thirty trillion, three hundred forty-five billion, four hundred one million, two hundred forty thousand, one hundred".