Powers of 11 in Pascal's Triangle

So one of the first things you might recognize are the first few rows... The numbers "feel" familiar...

That could be because they are actually powers of 11...
11⁰ = 1
11¹ = 11
11² = 121
11³ = 1331
11⁴ = 14641

But what is 11⁵? Whoa - hold up. Let's recap just a little...

Let's re-examine 11²....
What we are really seeing is:

102	101	100
1	2	1
Which is really...
1 * 102	2 * 101	1 * 100
100	20	1
or... 100+20+1 = 121 = 112

The same is true for 11³...

103	102	101	100
1	3	3	1
Which is really...
1 * 103	3 * 102	3 * 101	1 * 100
1000	300	30	1
or... 1000+300+30+1 = 1331 = 113

Now, 11⁵ is a bit more tricky... The math is the exact same, but it is not as visually obvious...

105	104	103	102	101	100
1	5	10	10	5	1
Which is really...
1 * 105	5 * 104	10 * 103	10 * 102	5 * 101	1 * 100
100000	50000	10000	1000	50	1
or... 100000+50000+10000+1000+50+1 = 161051 = 115