30100032000 has 320 divisors, whose sum is σ = 111200918400. Its totient is φ = 8026214400.

The previous prime is 30100031981. The next prime is 30100032037. The reversal of 30100032000 is 23000103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1719291 + ... + 1736709.

It is an arithmetic number, because the mean of its divisors is an integer number (347502870).

Almost surely, 2^30100032000 is an apocalyptic number.

30100032000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55600459200).

30100032000 is an abundant number, since it is smaller than the sum of its proper divisors (81100886400).

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

30100032000 is an equidigital number, since it uses as much as digits as its factorization.

30100032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17461 (or 17429 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 30100032000 its reverse (23000103), we get a palindrome (30123032103).

The spelling of 30100032000 in words is "thirty billion, one hundred million, thirty-two thousand".