211302203200 has 252 divisors, whose sum is σ = 572663342860. Its totient is φ = 76680806400.

The previous prime is 211302203149. The next prime is 211302203263. The reversal of 211302203200 is 2302203112.

211302203200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 128867904 + 211173335296 = 11352^2 + 459536^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141908056 + ... + 141909544.

Almost surely, 2^211302203200 is an apocalyptic number.

211302203200 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 211302203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286331671430).

211302203200 is an abundant number, since it is smaller than the sum of its proper divisors (361361139660).

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

211302203200 is a wasteful number, since it uses less digits than its factorization.

211302203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2240 counting only the distinct ones).

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

Adding to 211302203200 its reverse (2302203112), we get a palindrome (213604406312).

The spelling of 211302203200 in words is "two hundred eleven billion, three hundred two million, two hundred three thousand, two hundred".