Consider all possible word palindromes containing three or more letters. Now, consider each of them as a numeral in the base 36 system and convert them to the base ten system. For a few of these words, this base ten value will be a number palindrome (without leading zeroes.)

What are the respective word palindromes that have the minimum value and the maximum value in the base ten system with this property?

(For example, civic is a word palindrome containing five letters. Converting civic (base 36) to base ten we obtain 21036036, which is not a number palindrome. So, civic does NOT have the desired property.)

Notes:

(a) Words involving proper nouns, abbreviations or acronyms is not permissible.

(b) None of the words can be hyphenated. For example, words like A-bomb, X-Ray etc. are not allowed.

Though there are several "letter" base-36 palindromes that are also numerical base-10 palindromes, I found only two that can be considered words with the desired properties:
GAG (21112) and TAT (37973)

For palindromic "base-36" words of length 2, there is the 
OO (888), the Hawaiian honeyeater (Moho nobilis).

Though not a valid solution due to spaces and punctuation (and ignoring these differences in their palindromic representation), following is a base-36 palindrome that in conversion is a palindrome in base-10, that one might command of one's young pet dog:
PUP, UP! UP! (56276867265)

Edited on March 12, 2012, 2:52 pm

Posted by Dej Mar on 2012-03-12 14:40:13