30131200 has 132 divisors (see below), whose sum is σ = 82240272. Its totient is φ = 10854400.

The previous prime is 30131159. The next prime is 30131201. The reversal of 30131200 is 213103.

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 (30131201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281547 + ... + 281653.

Almost surely, 2^30131200 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 30131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41120136).

30131200 is an abundant number, since it is smaller than the sum of its proper divisors (52109072).

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

30131200 is a wasteful number, since it uses less digits than its factorization.

30131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

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

The square root of 30131200 is about 5489.1893754907. The cubic root of 30131200 is about 311.1755573219.

Adding to 30131200 its reverse (213103), we get a palindrome (30344303).

The spelling of 30131200 in words is "thirty million, one hundred thirty-one thousand, two hundred".