111241314 has 96 divisors (see below), whose sum is σ = 266760000. Its totient is φ = 33374592.

The previous prime is 111241297. The next prime is 111241327. The reversal of 111241314 is 413142111.

111241314 is a `hidden beast` number, since 111 + 241 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 746512 + ... + 746660.

It is an arithmetic number, because the mean of its divisors is an integer number (2778750).

Almost surely, 2^111241314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111241314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133380000).

111241314 is an abundant number, since it is smaller than the sum of its proper divisors (155518686).

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

111241314 is a wasteful number, since it uses less digits than its factorization.

111241314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 111241314 is about 10547.0997909378. The cubic root of 111241314 is about 480.9375685269.

Adding to 111241314 its reverse (413142111), we get a palindrome (524383425).

The spelling of 111241314 in words is "one hundred eleven million, two hundred forty-one thousand, three hundred fourteen".