211003200320 has 336 divisors, whose sum is σ = 596587844160. Its totient is φ = 70439731200.

The previous prime is 211003200313. The next prime is 211003200323. The reversal of 211003200320 is 23002300112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211003200295 and 211003200304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211003200323) 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 47 ways as a sum of consecutive naturals, for example, 41705951 + ... + 41711009.

It is an arithmetic number, because the mean of its divisors is an integer number (1775559060).

Almost surely, 2^211003200320 is an apocalyptic number.

211003200320 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 211003200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298293922080).

211003200320 is an abundant number, since it is smaller than the sum of its proper divisors (385584643840).

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

211003200320 is a wasteful number, since it uses less digits than its factorization.

211003200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 211003200320 its reverse (23002300112), we get a palindrome (234005500432).

The spelling of 211003200320 in words is "two hundred eleven billion, three million, two hundred thousand, three hundred twenty".