30312100 has 72 divisors (see below), whose sum is σ = 80980928. Its totient is φ = 9590400.

The previous prime is 30312089. The next prime is 30312103. The reversal of 30312100 is 121303.

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 (30312103) 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, 7435 + ... + 10765.

Almost surely, 2^30312100 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 30312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40490464).

30312100 is an abundant number, since it is smaller than the sum of its proper divisors (50668828).

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

30312100 is a wasteful number, since it uses less digits than its factorization.

30312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3358 counting only the distinct ones).

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

The square root of 30312100 is about 5505.6425601377. The cubic root of 30312100 is about 311.7970546293.

Adding to 30312100 its reverse (121303), we get a palindrome (30433403).

It can be divided in two parts, 303 and 12100, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 30312100 in words is "thirty million, three hundred twelve thousand, one hundred".