211413300 has 72 divisors (see below), whose sum is σ = 699080256. Its totient is φ = 48322560.

The previous prime is 211413299. The next prime is 211413311. The reversal of 211413300 is 3314112.

211413300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211413300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48237 + ... + 52436.

It is an arithmetic number, because the mean of its divisors is an integer number (9709448).

Almost surely, 2^211413300 is an apocalyptic number.

211413300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211413300 is an abundant number, since it is smaller than the sum of its proper divisors (487666956).

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

211413300 is a wasteful number, since it uses less digits than its factorization.

211413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100697 (or 100690 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 211413300 is about 14540.0584593048. The cubic root of 211413300 is about 595.7226349301.

Adding to 211413300 its reverse (3314112), we get a palindrome (214727412).

The spelling of 211413300 in words is "two hundred eleven million, four hundred thirteen thousand, three hundred".