30320010000 has 1200 divisors, whose sum is σ = 135968976000. Its totient is φ = 6137856000.

The previous prime is 30320009971. The next prime is 30320010001. The reversal of 30320010000 is 1002303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30320010001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 203489926 + ... + 203490074.

It is an arithmetic number, because the mean of its divisors is an integer number (113307480).

Almost surely, 2^30320010000 is an apocalyptic number.

30320010000 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 30320010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67984488000).

30320010000 is an abundant number, since it is smaller than the sum of its proper divisors (105648966000).

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

30320010000 is a wasteful number, since it uses less digits than its factorization.

30320010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

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

Adding to 30320010000 its reverse (1002303), we get a palindrome (30321012303).

The spelling of 30320010000 in words is "thirty billion, three hundred twenty million, ten thousand".