30324213000 has 224 divisors, whose sum is σ = 106391876760. Its totient is φ = 8086262400.

The previous prime is 30324212999. The next prime is 30324213011. The reversal of 30324213000 is 31242303.

It can be written as a sum of positive squares in 4 ways, for example, as 6622378884 + 23701834116 = 81378^2 + 153954^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 708202 + ... + 749798.

Almost surely, 2^30324213000 is an apocalyptic number.

30324213000 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 30324213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53195938380).

30324213000 is an abundant number, since it is smaller than the sum of its proper divisors (76067663760).

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

30324213000 is an equidigital number, since it uses as much as digits as its factorization.

30324213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41636 (or 41607 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30324213000 its reverse (31242303), we get a palindrome (30355455303).

The spelling of 30324213000 in words is "thirty billion, three hundred twenty-four million, two hundred thirteen thousand".