211113162 has 128 divisors (see below), whose sum is σ = 532224000. Its totient is φ = 61585920.

The previous prime is 211113139. The next prime is 211113163. The reversal of 211113162 is 261311112.

211113162 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (211113163) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1936764 + ... + 1936872.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2^211113162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211113162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112000).

211113162 is an abundant number, since it is smaller than the sum of its proper divisors (321110838).

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

211113162 is a wasteful number, since it uses less digits than its factorization.

211113162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 211113162 is about 14529.7337208911. The cubic root of 211113162 is about 595.4405907397.

Adding to 211113162 its reverse (261311112), we get a palindrome (472424274).

The spelling of 211113162 in words is "two hundred eleven million, one hundred thirteen thousand, one hundred sixty-two".