30032010100000 has 144 divisors (see below), whose sum is σ = 75296563664616. Its totient is φ = 11786145280000.

The previous prime is 30032010099991. The next prime is 30032010100003. The reversal of 30032010100000 is 101023003.

It can be written as a sum of positive squares in 12 ways, for example, as 11817176262544 + 18214833837456 = 3437612^2 + 4267884^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 30032010100000.

It is not an unprimeable number, because it can be changed into a prime (30032010100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2466792 + ... + 8133208.

Almost surely, 2^{30032010100000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30032010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37648281832308).

30032010100000 is an abundant number, since it is smaller than the sum of its proper divisors (45264553564616).

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

30032010100000 is an frugal number, since it uses more digits than its factorization.

30032010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666505 (or 5666477 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 30032010100000 its reverse (101023003), we get a palindrome (30032111123003).

The spelling of 30032010100000 in words is "thirty trillion, thirty-two billion, ten million, one hundred thousand".