Number Gossip

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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 would be the magic constant for the smallest magic square composed only of prime numbers if 1 were counted as a prime
  • 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)
  • A web page: One being's lifelong connection to 111 http://www.the111experience.org
  • 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