211113043400 has 96 divisors (see below), whose sum is σ = 562623335040. Its totient is φ = 72166671360.

The previous prime is 211113043397. The next prime is 211113043429. The reversal of 211113043400 is 4340311112.

211113043400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211113043400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248069 + ... + 695531.

It is an arithmetic number, because the mean of its divisors is an integer number (5860659740).

Almost surely, 2^211113043400 is an apocalyptic number.

211113043400 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 211113043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281311667520).

211113043400 is an abundant number, since it is smaller than the sum of its proper divisors (351510291640).

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

211113043400 is a wasteful number, since it uses less digits than its factorization.

211113043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447823 (or 447814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211113043400 its reverse (4340311112), we get a palindrome (215453354512).

The spelling of 211113043400 in words is "two hundred eleven billion, one hundred thirteen million, forty-three thousand, four hundred".