111142993 has 8 divisors (see below), whose sum is σ = 123820200. Its totient is φ = 99055488.

The previous prime is 111142987. The next prime is 111143023. The reversal of 111142993 is 399241111.

It can be written as a sum of positive squares in 4 ways, for example, as 8485569 + 102657424 = 2913^2 + 10132^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111142993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111142943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147028 + ... + 147781.

It is an arithmetic number, because the mean of its divisors is an integer number (15477525).

Almost surely, 2^111142993 is an apocalyptic number.

111142993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111142993 is a deficient number, since it is larger than the sum of its proper divisors (12677207).

111142993 is a wasteful number, since it uses less digits than its factorization.

111142993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294851.

The product of its digits is 1944, while the sum is 31.

The square root of 111142993 is about 10542.4377162021. The cubic root of 111142993 is about 480.7958340124.

The spelling of 111142993 in words is "one hundred eleven million, one hundred forty-two thousand, nine hundred ninety-three".