211301140 has 48 divisors (see below), whose sum is σ = 456204672. Its totient is φ = 82164096.

The previous prime is 211301113. The next prime is 211301141. The reversal of 211301140 is 41103112.

It is a self number, because there is not a number n which added to its sum of digits gives 211301140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211301141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237777 + ... + 238663.

It is an arithmetic number, because the mean of its divisors is an integer number (9504264).

Almost surely, 2^211301140 is an apocalyptic number.

211301140 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 211301140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228102336).

211301140 is an abundant number, since it is smaller than the sum of its proper divisors (244903532).

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

211301140 is a wasteful number, since it uses less digits than its factorization.

211301140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 211301140 is about 14536.2010167719. The cubic root of 211301140 is about 595.6172677495.

Adding to 211301140 its reverse (41103112), we get a palindrome (252404252).

The spelling of 211301140 in words is "two hundred eleven million, three hundred one thousand, one hundred forty".