211300020 has 72 divisors (see below), whose sum is σ = 645112104. Its totient is φ = 55980288.

The previous prime is 211300009. The next prime is 211300027. The reversal of 211300020 is 20003112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49196196 + 162103824 = 7014^2 + 12732^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211299975 and 211300011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211300027) 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 23 ways as a sum of consecutive naturals, for example, 24522 + ... + 31998.

Almost surely, 2^211300020 is an apocalyptic number.

211300020 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 211300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322556052).

211300020 is an abundant number, since it is smaller than the sum of its proper divisors (433812084).

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

211300020 is a wasteful number, since it uses less digits than its factorization.

211300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 211300020 is about 14536.1624922123. The cubic root of 211300020 is about 595.6162153928.

Adding to 211300020 its reverse (20003112), we get a palindrome (231303132).

The spelling of 211300020 in words is "two hundred eleven million, three hundred thousand, twenty".