211113140 has 96 divisors (see below), whose sum is σ = 542142720. Its totient is φ = 67405824.

The previous prime is 211113139. The next prime is 211113163. The reversal of 211113140 is 41311112.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 31 ways as a sum of consecutive naturals, for example, 254246 + ... + 255074.

It is an arithmetic number, because the mean of its divisors is an integer number (5647320).

Almost surely, 2^211113140 is an apocalyptic number.

211113140 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 211113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271071360).

211113140 is an abundant number, since it is smaller than the sum of its proper divisors (331029580).

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

211113140 is a wasteful number, since it uses less digits than its factorization.

211113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 211113140 is about 14529.7329638228. The cubic root of 211113140 is about 595.4405700562.

Adding to 211113140 its reverse (41311112), we get a palindrome (252424252).

It can be divided in two parts, 2111 and 13140, that added together give a palindrome (15251).

The spelling of 211113140 in words is "two hundred eleven million, one hundred thirteen thousand, one hundred forty".