211111431140 has 24 divisors (see below), whose sum is σ = 444589923960. Its totient is φ = 84205349888.

The previous prime is 211111431133. The next prime is 211111431197. The reversal of 211111431140 is 41134111112.

211111431140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59939770276 + 151171660864 = 244826^2 + 388808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 14944175 + ... + 14958294.

It is an arithmetic number, because the mean of its divisors is an integer number (18524580165).

Almost surely, 2^211111431140 is an apocalyptic number.

211111431140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111431140 is an abundant number, since it is smaller than the sum of its proper divisors (233478492820).

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

211111431140 is a wasteful number, since it uses less digits than its factorization.

211111431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29902831 (or 29902829 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 211111431140 its reverse (41134111112), we get a palindrome (252245542252).

The spelling of 211111431140 in words is "two hundred eleven billion, one hundred eleven million, four hundred thirty-one thousand, one hundred forty".