30010013200 has 60 divisors (see below), whose sum is σ = 72355907988. Its totient is φ = 11961241600.

The previous prime is 30010013179. The next prime is 30010013203. The reversal of 30010013200 is 231001003.

It can be written as a sum of positive squares in 6 ways, for example, as 162613504 + 29847399696 = 12752^2 + 172764^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30010013203) 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 11 ways as a sum of consecutive naturals, for example, 21097 + ... + 245896.

Almost surely, 2^30010013200 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 30010013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36177953994).

30010013200 is an abundant number, since it is smaller than the sum of its proper divisors (42345894788).

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

30010013200 is a wasteful number, since it uses less digits than its factorization.

30010013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267292 (or 267281 counting only the distinct ones).

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

Adding to 30010013200 its reverse (231001003), we get a palindrome (30241014203).

The spelling of 30010013200 in words is "thirty billion, ten million, thirteen thousand, two hundred".