My numeral system

Here is a numeral system I came up with (probably independently invented by someone else before). It can only represent positive integers.

There are two symbols: unary digit (1) and separator (,).

The numbers are represented as the exponents of its prime factors in unary numeral system (base one; 0 = nothing, 1 = 1, 2 = 11, etc.), separated by commas. A number never ends with a comma, except for one (",").

Examples:

Decimal Prime factors Prime factors (alt.) My system
1 20 ,
2 2 21 1
3 3 20×31 ,1
4 22 22 11
5 5 20×30×51 ,,1
6 2×3 21×31 1,1
7 7 20×30×50×71 ,,,1
8 23 23 111
9 32 32 ,11
10 2×5 21×30×51 1,,1
13 13 20×30×50×70×110×131 ,,,,,1
30 2×3×5 21×31×51 1,1,1
64 26 26 111111

Pros:

Cons:


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