
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
If a natural number $N$ is appended to the right of every natural number (for example, appending 2 to the right of 35 to get 352), and if the new number can be divided by $N$, then $N$ is called a "magic number". Among the natural numbers less than 130, the number of magic numbers is     .

Present the answer in LaTex format: \boxed{Your answer}
user