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111111107 = 192417507
BaseRepresentation
bin1101001111101…
…10101111000011
321202002000210012
412213312233003
5211421023412
615005255135
72516300042
oct647665703
9252060705
10111111107
11577a0468
12312644ab
131a034023
1410a84559
159b4bc22
hex69f6bc3

111111107 has 12 divisors (see below), whose sum is σ = 120143016. Its totient is φ = 102682080.

The previous prime is 111111089. The next prime is 111111109. The reversal of 111111107 is 701111111.

It is a de Polignac number, because none of the positive numbers 2k-111111107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111111091 and 111111100.

It is not an unprimeable number, because it can be changed into a prime (111111109) 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 11 ways as a sum of consecutive naturals, for example, 11048 + ... + 18554.

It is an arithmetic number, because the mean of its divisors is an integer number (10011918).

Almost surely, 2111111107 is an apocalyptic number.

111111107 is a deficient number, since it is larger than the sum of its proper divisors (9031909).

111111107 is an equidigital number, since it uses as much as digits as its factorization.

111111107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 14.

The square root of 111111107 is about 10540.9253388875. The cubic root of 111111107 is about 480.7498508399.

Adding to 111111107 its reverse (701111111), we get a palindrome (812222218).

The spelling of 111111107 in words is "one hundred eleven million, one hundred eleven thousand, one hundred seven".

Divisors: 1 19 41 361 779 7507 14801 142633 307787 2710027 5847953 111111107