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Next Bigger Number

Write a function `rearrange_bigger(n)` that takes an integer `n` as input and returns the next bigger number that can be formed by rearranging its digits. If no such number exists, return `False`.

#### Example Usage
```python [main.nopy]
rearrange_bigger(12)  # Output: 21
rearrange_bigger(10)  # Output: False
rearrange_bigger(102) # Output: 120
```
def rearrange_bigger(n):
    """
    Given an integer n, find the next bigger number that can be formed by rearranging its digits.
    If no such number exists, return False.
    
    Args:
    n (int): The input number.

    Returns:
    int or bool: The next bigger number or False if not possible.
    """
    # Placeholder for the solution
    pass