211011230320 has 80 divisors (see below), whose sum is σ = 535491440640. Its totient is φ = 76689747200.

The previous prime is 211011230299. The next prime is 211011230333. The reversal of 211011230320 is 23032110112.

211011230320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 211011230294 and 211011230303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1582401 + ... + 1710559.

It is an arithmetic number, because the mean of its divisors is an integer number (6693643008).

Almost surely, 2^211011230320 is an apocalyptic number.

211011230320 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 211011230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267745720320).

211011230320 is an abundant number, since it is smaller than the sum of its proper divisors (324480210320).

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

211011230320 is a wasteful number, since it uses less digits than its factorization.

211011230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130054 (or 130048 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211011230320 its reverse (23032110112), we get a palindrome (234043340432).

The spelling of 211011230320 in words is "two hundred eleven billion, eleven million, two hundred thirty thousand, three hundred twenty".