011110

Today is January 11, 2010 – commonly shortened to 011110.

011110 is a palindrome: it reads the same way in either direction. We will have another one in 11 days: 012210. In November of next year we get 111111 and 112211.

Only two calendar days are palindromic: 11 and 22. No month has a 33. This decade we get a palindromic bumper crop: 011110, 012210, 111111, 112211.

Last decade also reaped a palindromic bumper crop. But the reciprocal of every year number 01-12 is not necessarily a month.

In mmddyy format, in the coming decades of the century we do get at least (2) palindromic days each 02dd20, 03dd30 and so on up to 09dd90. But when can we get more than 2 palindromic days in a decade?

121121 and 122221 would be the highest non-decade palindromic years.  What is the highest number whose last 2 digits, reversed, equal a month number?

month: 01 02 03 04 05 06 07 08 09 10 11 12
year:  10 20 30 40 50 60 70 80 90 01 11 21

No big deal – I rarely get interested in palindromes – but the thing is, after 2021, I believe this parlor game will only work twice a decade (on the decade years ending in zero).

Can you think of others?

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