211030320 has 80 divisors (see below), whose sum is σ = 656645472. Its totient is φ = 56064000.

The previous prime is 211030297. The next prime is 211030331. The reversal of 211030320 is 23030112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211030296 and 211030305.

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, 68820 + ... + 71820.

Almost surely, 2^211030320 is an apocalyptic number.

211030320 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 211030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328322736).

211030320 is an abundant number, since it is smaller than the sum of its proper divisors (445615152).

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

211030320 is a wasteful number, since it uses less digits than its factorization.

211030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 211030320 is about 14526.8826662846. The cubic root of 211030320 is about 595.3626957971.

Adding to 211030320 its reverse (23030112), we get a palindrome (234060432).

The spelling of 211030320 in words is "two hundred eleven million, thirty thousand, three hundred twenty".