This 2016, when was the \(2016^\text{th}\) instance that the hour hand and the minute hand overlap?

Write your answer as `mmddhhmmss`

in 24 hour format and rounded off to the nearest second.

For example, if your answer is **July 3, 2016, 5:15:23 pm**, then write your answer as 0703171523.

**Note:** The first overlap is on Jan 1st midnight, namely 0101000000.

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