Round time intervals

1000 years is a nice round number. Almost everyone lives to be 10 years old and a few of us will make it to 100 years. A Millennium is 10 times a hundred years and seems to be a hard length of time to imagine. Another factor of 10 gives us the time period of 10,000 years. 10,000 years ago is past the start of civilization and near the end of the last ice age.

The are many other units of time, the month, the second, the fortnight etc. The way powers of ten work for each unit of time, there is a unique power of ten 10-to-the-nth so that 10-to-the-nth units of time is between 10 and 100 years. For example 100 months is 8 1/3 years (less than 10 years), 1000 months is 83 1/3 years (between 10 and 100) and 10,000 months is 833 1/3 years (more than 100 years). So for months, 1000 months is between 10 and 100 years. Many more people can celebrate their 1000th month birthday, then their 100th.

This gives several "party opportunities" for people between the ages of 18-33. (Like celebrating a 1000-month birthday, only that would be for someone 83.3 years old.) What are they? Answer