Number Gossip
(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)
Unique Properties of 111
- 111 is the smallest repunit composite number
- 111 is the smallest palindromic number such that the sum of its digits is one of its prime factors
- 111 is the smallest magic constant for a magic square composed only of non-composite numbers
- A six-by-six magic square using the numbers 1 through 36 has a magic constant of 111
- Eleventy-one, the age at which Bilbo Baggins leaves the Shire in J.R.R. Tolkien's The Lord of the Rings
- 111 is the number of primes that can appear on a 12-hour digital clock starting from 1:00 up to 12:59 (verified by Christopher Heckman)
- 111 is the smallest integer such that the maximum digit of its square is 3
- 111 is the largest integer consisting of the same digit such that, in its English pronunciation, all the words start with distinct letters