2 × 32 × 41 × 271
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 271, 369, 542, 738, 813, 1626, 2439, 4878, 11111, 22222, 33333, 66666, 99999 and 199998
No.
Its nearest Fibonacci number neighbors are 196418 and 317811.