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

Rare Properties of 111

Repunit

Common Properties of 111

Composite
Deficient
Evil
Lucky
Odd
Palindrome
Square-free
Undulating