111141100314 has 96 divisors (see below), whose sum is σ = 252939697920. Its totient is φ = 35228048256.

The previous prime is 111141100313. The next prime is 111141100321. The reversal of 111141100314 is 413001141111.

111141100314 is a `hidden beast` number, since 111 + 141 + 100 + 314 = 666.

It is a super-2 number, since 2×111141100314² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (111141100313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25947217 + ... + 25951499.

It is an arithmetic number, because the mean of its divisors is an integer number (2634788520).

Almost surely, 2^111141100314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111141100314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126469848960).

111141100314 is an abundant number, since it is smaller than the sum of its proper divisors (141798597606).

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

111141100314 is a wasteful number, since it uses less digits than its factorization.

111141100314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 111141100314 its reverse (413001141111), we get a palindrome (524142241425).

The spelling of 111141100314 in words is "one hundred eleven billion, one hundred forty-one million, one hundred thousand, three hundred fourteen".