2 × 3 × 37 × 41 × 271
1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 271, 542, 813, 1517, 1626, 3034, 4551, 9102, 10027, 11111, 20054, 22222, 30081, 33333, 60162, 66666, 411107, 822214, 1233321 and 2466642
No.
Its nearest Fibonacci number neighbors are 2178309 and 3524578.