Anna and Bob are starting up a new high-tech company. Of course, one of their key considerations is choosing a good name for the company. Palindromes are cool. (A palindrome is a word that is the same when reversed, like the names of our two entrepreneurs.) They would really the name of their company to be a palindrome. Unfortunately, they cannot think of a nifty company name that is also a palindrome.
Maybe at least the telephone number of their company could be a palindrome. However, they really want their customers to be able to call them, so they want to choose the company name so that, when it is typed using the letters printed on a phone keypad, the result is also their phone number. (On a standard phone keypad, the following keys contain the corresponding letters: 2: ABC, 3: DEF, 4: GHI, 5: JKL, 6: MNO, 7: PQRS, 8: TUV, 9: WXYZ.)