Sunday Times Teaser 2593 – Spell It Out
by Victor Bryant
Published: 3 June 2012 (link)
I have written down a very large number (but with fewer than twenty- five digits). If you spell out each of its digits as a word, then for each digit its last letter is the same as the first letter of the next digit (the last letter of the last digit being the same as the first letter of the first digit). One example of such a number would be 83821.
Neither my number nor the sum of its digits is a palindromic number (but in fact the original number is one more than a palindrome).
What is my number?