211310020 has 48 divisors (see below), whose sum is σ = 471562560. Its totient is φ = 79311744.

The previous prime is 211310009. The next prime is 211310053. The reversal of 211310020 is 20013112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211309979 and 211310006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38062 + ... + 43258.

It is an arithmetic number, because the mean of its divisors is an integer number (9824220).

Almost surely, 2^211310020 is an apocalyptic number.

211310020 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 211310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235781280).

211310020 is an abundant number, since it is smaller than the sum of its proper divisors (260252540).

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

211310020 is a wasteful number, since it uses less digits than its factorization.

211310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 211310020 is about 14536.5064578804. The cubic root of 211310020 is about 595.6256113032.

Adding to 211310020 its reverse (20013112), we get a palindrome (231323132).

The spelling of 211310020 in words is "two hundred eleven million, three hundred ten thousand, twenty".