211235142300 has 288 divisors, whose sum is σ = 772547553792. Its totient is φ = 43363537920.

The previous prime is 211235142241. The next prime is 211235142317. The reversal of 211235142300 is 3241532112.

211235142300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 905539 + ... + 1114661.

It is an arithmetic number, because the mean of its divisors is an integer number (2682456784).

Almost surely, 2^211235142300 is an apocalyptic number.

211235142300 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 211235142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386273776896).

211235142300 is an abundant number, since it is smaller than the sum of its proper divisors (561312411492).

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

211235142300 is a wasteful number, since it uses less digits than its factorization.

211235142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209197 (or 209190 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 211235142300 its reverse (3241532112), we get a palindrome (214476674412).

The spelling of 211235142300 in words is "two hundred eleven billion, two hundred thirty-five million, one hundred forty-two thousand, three hundred".