30413143682100 has 108 divisors (see below), whose sum is σ = 96078926221824. Its totient is φ = 8046311999040.

The previous prime is 30413143682021. The next prime is 30413143682153. The reversal of 30413143682100 is 128634131403.

30413143682100 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 3 + 1 + 436 + 8 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132926574 + ... + 133155173.

Almost surely, 2^{30413143682100} is an apocalyptic number.

30413143682100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30413143682100 is an abundant number, since it is smaller than the sum of its proper divisors (65665782539724).

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

30413143682100 is a wasteful number, since it uses less digits than its factorization.

30413143682100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266081894 (or 266081884 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30413143682100 in words is "thirty trillion, four hundred thirteen billion, one hundred forty-three million, six hundred eighty-two thousand, one hundred".