111310441 has 24 divisors (see below), whose sum is σ = 132120072. Its totient is φ = 93350400.

The previous prime is 111310427. The next prime is 111310457. The reversal of 111310441 is 144013111.

It can be written as a sum of positive squares in 4 ways, for example, as 45765225 + 65545216 = 6765^2 + 8096^2 .

It is not a de Polignac number, because 111310441 - 2¹⁹ = 110786153 is a prime.

It is a super-2 number, since 2×111310441² = 24780028551228962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111310411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108511 + ... + 109531.

It is an arithmetic number, because the mean of its divisors is an integer number (5505003).

Almost surely, 2^111310441 is an apocalyptic number.

111310441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111310441 is a deficient number, since it is larger than the sum of its proper divisors (20809631).

111310441 is a wasteful number, since it uses less digits than its factorization.

111310441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 111310441 is about 10550.3763439984. The cubic root of 111310441 is about 481.0371684747.

Adding to 111310441 its reverse (144013111), we get a palindrome (255323552).

The spelling of 111310441 in words is "one hundred eleven million, three hundred ten thousand, four hundred forty-one".