30140432100 has 189 divisors, whose sum is σ = 98214991833. Its totient is φ = 8024948640.

The previous prime is 30140432057. The next prime is 30140432111. The reversal of 30140432100 is 123404103.

The square root of 30140432100 is 173610.

It is a perfect power (a square), and thus also a powerful number.

30140432100 is a `hidden beast` number, since 301 + 40 + 4 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10850555556 + 19289876544 = 104166^2 + 138888^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 46874379 + ... + 46875021.

Almost surely, 2^30140432100 is an apocalyptic number.

30140432100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30140432100 is the 173610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30140432100

30140432100 is an abundant number, since it is smaller than the sum of its proper divisors (68074559733).

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

30140432100 is an frugal number, since it uses more digits than its factorization.

30140432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30140432100 its reverse (123404103), we get a palindrome (30263836203).

The spelling of 30140432100 in words is "thirty billion, one hundred forty million, four hundred thirty-two thousand, one hundred".