211301820 has 72 divisors (see below), whose sum is σ = 658292544. Its totient is φ = 54822528.

The previous prime is 211301819. The next prime is 211301837. The reversal of 211301820 is 28103112.

211301820 is digitally balanced in base 2, 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 junction number, because it is equal to n+sod(n) for n = 211301793 and 211301802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9204 + ... + 22523.

It is an arithmetic number, because the mean of its divisors is an integer number (9142952).

Almost surely, 2^211301820 is an apocalyptic number.

211301820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211301820 is an abundant number, since it is smaller than the sum of its proper divisors (446990724).

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

211301820 is a wasteful number, since it uses less digits than its factorization.

211301820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31779 (or 31774 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 211301820 is about 14536.2244066332. The cubic root of 211301820 is about 595.6179066785.

Adding to 211301820 its reverse (28103112), we get a palindrome (239404932).

The spelling of 211301820 in words is "two hundred eleven million, three hundred one thousand, eight hundred twenty".