30003200100000 has 432 divisors, whose sum is σ = 109527598206936. Its totient is φ = 7784605440000.

The previous prime is 30003200099969. The next prime is 30003200100001. The reversal of 30003200100000 is 100230003.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6152205572496 + 23850994527504 = 2480364^2 + 4883748^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30003200100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32849502 + ... + 33750498.

Almost surely, 2^{30003200100000} is an apocalyptic number.

30003200100000 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 30003200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54763799103468).

30003200100000 is an abundant number, since it is smaller than the sum of its proper divisors (79524398106936).

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

30003200100000 is an equidigital number, since it uses as much as digits as its factorization.

30003200100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901075 (or 901044 counting only the distinct ones).

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

Adding to 30003200100000 its reverse (100230003), we get a palindrome (30003300330003).

The spelling of 30003200100000 in words is "thirty trillion, three billion, two hundred million, one hundred thousand".