211342300 has 144 divisors (see below), whose sum is σ = 534153312. Its totient is φ = 71884800.

The previous prime is 211342289. The next prime is 211342303. The reversal of 211342300 is 3243112.

It is a happy number.

211342300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211342303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1613235 + ... + 1613365.

It is an arithmetic number, because the mean of its divisors is an integer number (3709398).

Almost surely, 2^211342300 is an apocalyptic number.

211342300 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 211342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267076656).

211342300 is an abundant number, since it is smaller than the sum of its proper divisors (322811012).

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

211342300 is a wasteful number, since it uses less digits than its factorization.

211342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 211342300 is about 14537.6167235211. The cubic root of 211342300 is about 595.6559392794.

Adding to 211342300 its reverse (3243112), we get a palindrome (214585412).

The spelling of 211342300 in words is "two hundred eleven million, three hundred forty-two thousand, three hundred".