30100200 has 192 divisors, whose sum is σ = 106868160. Its totient is φ = 6942720.

The previous prime is 30100181. The next prime is 30100201. The reversal of 30100200 is 200103.

It is a super-3 number, since 3×30100200³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (30100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132487 + ... + 132713.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 2^30100200 is an apocalyptic number.

30100200 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 30100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

30100200 is an abundant number, since it is smaller than the sum of its proper divisors (76767960).

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

30100200 is a wasteful number, since it uses less digits than its factorization.

30100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 30100200 is about 5486.3649167732. The cubic root of 30100200 is about 311.0688047159.

Adding to 30100200 its reverse (200103), we get a palindrome (30300303).

The spelling of 30100200 in words is "thirty million, one hundred thousand, two hundred".