211301230320 has 240 divisors, whose sum is σ = 732990585600. Its totient is φ = 54493655040.

The previous prime is 211301230319. The next prime is 211301230489. The reversal of 211301230320 is 23032103112.

211301230320 is a `hidden beast` number, since 2 + 11 + 301 + 2 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×211301230320³ (a number of 35 digits) contains 333 as substring.

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 = 211301230293 and 211301230302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60909546 + ... + 60913014.

It is an arithmetic number, because the mean of its divisors is an integer number (3054127440).

Almost surely, 2^211301230320 is an apocalyptic number.

211301230320 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 211301230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366495292800).

211301230320 is an abundant number, since it is smaller than the sum of its proper divisors (521689355280).

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

211301230320 is a wasteful number, since it uses less digits than its factorization.

211301230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211301230320 its reverse (23032103112), we get a palindrome (234333333432).

The spelling of 211301230320 in words is "two hundred eleven billion, three hundred one million, two hundred thirty thousand, three hundred twenty".