111022993 has 2 divisors, whose sum is σ = 111022994. Its totient is φ = 111022992.

The previous prime is 111022987. The next prime is 111023063. The reversal of 111022993 is 399220111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105103504 + 5919489 = 10252^2 + 2433^2 .

It is an emirp because it is prime and its reverse (399220111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111022993 - 2⁹ = 111022481 is a prime.

It is a super-2 number, since 2×111022993² = 24652209949356098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111022943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55511496 + 55511497.

It is an arithmetic number, because the mean of its divisors is an integer number (55511497).

Almost surely, 2^111022993 is an apocalyptic number.

It is an amenable number.

111022993 is a deficient number, since it is larger than the sum of its proper divisors (1).

111022993 is an equidigital number, since it uses as much as digits as its factorization.

111022993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 111022993 is about 10536.7448958395. The cubic root of 111022993 is about 480.6227348501.

The spelling of 111022993 in words is "one hundred eleven million, twenty-two thousand, nine hundred ninety-three".