211014342300 has 72 divisors (see below), whose sum is σ = 611554608000. Its totient is φ = 56176502720.

The previous prime is 211014342281. The next prime is 211014342311. The reversal of 211014342300 is 3243410112.

211014342300 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 23 ways as a sum of consecutive naturals, for example, 407430 + ... + 766829.

It is an arithmetic number, because the mean of its divisors is an integer number (8493814000).

Almost surely, 2^211014342300 is an apocalyptic number.

211014342300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211014342300 is an abundant number, since it is smaller than the sum of its proper divisors (400540265700).

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

211014342300 is a wasteful number, since it uses less digits than its factorization.

211014342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174875 (or 1174868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 211014342300 its reverse (3243410112), we get a palindrome (214257752412).

The spelling of 211014342300 in words is "two hundred eleven billion, fourteen million, three hundred forty-two thousand, three hundred".