30100040032032 has 72 divisors (see below), whose sum is σ = 85601295971100. Its totient is φ = 10032841812480.

The previous prime is 30100040032003. The next prime is 30100040032033. The reversal of 30100040032032 is 23023004000103.

30100040032032 is a `hidden beast` number, since 301 + 0 + 0 + 0 + 40 + 0 + 320 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29893818690576 + 206221341456 = 5467524^2 + 454116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 30100040031996 and 30100040032014.

It is not an unprimeable number, because it can be changed into a prime (30100040032033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3125782 + ... + 8364842.

Almost surely, 2^{30100040032032} is an apocalyptic number.

30100040032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30100040032032 is an abundant number, since it is smaller than the sum of its proper divisors (55501255939068).

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

30100040032032 is a wasteful number, since it uses less digits than its factorization.

30100040032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259026 (or 5259015 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30100040032032 its reverse (23023004000103), we get a palindrome (53123044032135).

The spelling of 30100040032032 in words is "thirty trillion, one hundred billion, forty million, thirty-two thousand, thirty-two".