211113200 has 60 divisors (see below), whose sum is σ = 510982920. Its totient is φ = 83815680.

The previous prime is 211113167. The next prime is 211113263. The reversal of 211113200 is 2311112.

It is a super-3 number, since 3×211113200³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53702 + ... + 57498.

It is an arithmetic number, because the mean of its divisors is an integer number (8516382).

Almost surely, 2^211113200 is an apocalyptic number.

211113200 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 211113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255491460).

211113200 is an abundant number, since it is smaller than the sum of its proper divisors (299869720).

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

211113200 is a wasteful number, since it uses less digits than its factorization.

211113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 211113200 is about 14529.7350285544. The cubic root of 211113200 is about 595.4406264658.

Adding to 211113200 its reverse (2311112), we get a palindrome (213424312).

The spelling of 211113200 in words is "two hundred eleven million, one hundred thirteen thousand, two hundred".