Given an integer `n`, return the decimal value of the binary string formed by concatenating the binary representations of `1` to `n` in order, modulo `109 + 7`.

Example 1:

    Input: n = 1
    Output: 1
    Explanation: "1" in binary corresponds to the decimal value 1.

Example 2:

    Input: n = 3
    Output: 27
    Explanation: In binary, 1, 2, and 3 corresponds to "1", "10", and "11".
    After concatenating them, we have "11011", which corresponds to the decimal value 27.

Example 3:

    Input: n = 12
    Output: 505379714
    Explanation: The concatenation results in "1101110010111011110001001101010111100".
    The decimal value of that is 118505380540.
    After modulo 109 + 7, the result is 505379714.

Constraints:

- `1 <= n <= 105`