202113300 has 72 divisors (see below), whose sum is σ = 591899616. Its totient is φ = 53240960.

The previous prime is 202113293. The next prime is 202113311. The reversal of 202113300 is 3311202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20842 + ... + 28958.

It is an arithmetic number, because the mean of its divisors is an integer number (8220828).

Almost surely, 2^202113300 is an apocalyptic number.

202113300 is a gapful number since it is divisible by the number (20) 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 202113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295949808).

202113300 is an abundant number, since it is smaller than the sum of its proper divisors (389786316).

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

202113300 is a wasteful number, since it uses less digits than its factorization.

202113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 202113300 is about 14216.6557248883. The cubic root of 202113300 is about 586.8561106222.

Adding to 202113300 its reverse (3311202), we get a palindrome (205424502).

The spelling of 202113300 in words is "two hundred two million, one hundred thirteen thousand, three hundred".