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 of my numeral system
DecimalPrime factorsPrime factors (alt.)My system
120,
22211
3320×31,1
4222211
5520×30×51,,1
62×321×311,1
7720×30×50×71,,,1
82323111
93232,11
102×521×30×511,,1
131320×30×50×70×110×131,,,,,1
302×3×521×31×511,1,1
642626111111

Pros:

Cons:


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