30200200200 has 288 divisors, whose sum is σ = 103732200000. Its totient is φ = 7871592960.

The previous prime is 30200200193. The next prime is 30200200201. The reversal of 30200200200 is 200200203.

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

30200200200 is a modest number, since divided by 200200 gives 30200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (30200200201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21133086 + ... + 21134514.

It is an arithmetic number, because the mean of its divisors is an integer number (360181250).

Almost surely, 2^30200200200 is an apocalyptic number.

30200200200 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 30200200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51866100000).

30200200200 is an abundant number, since it is smaller than the sum of its proper divisors (73531999800).

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

30200200200 is a wasteful number, since it uses less digits than its factorization.

30200200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 30200200200 its reverse (200200203), we get a palindrome (30400400403).

It can be divided in two parts, 30200 and 200200, that added together give a square (230400 = 480²).

The spelling of 30200200200 in words is "thirty billion, two hundred million, two hundred thousand, two hundred".