211323300 has 72 divisors (see below), whose sum is σ = 613877376. Its totient is φ = 56127360.

The previous prime is 211323289. The next prime is 211323323. The reversal of 211323300 is 3323112.

211323300 is digitally balanced in base 3, 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 211323300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81829 + ... + 84371.

Almost surely, 2^211323300 is an apocalyptic number.

211323300 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 211323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306938688).

211323300 is an abundant number, since it is smaller than the sum of its proper divisors (402554076).

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

211323300 is a wasteful number, since it uses less digits than its factorization.

211323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 211323300 is about 14536.9632317070. The cubic root of 211323300 is about 595.6380886141.

Adding to 211323300 its reverse (3323112), we get a palindrome (214646412).

The spelling of 211323300 in words is "two hundred eleven million, three hundred twenty-three thousand, three hundred".