132142857143

132142857143 is a 12-digit integer. Its decimal representation features the well-known cyclic block 142857, which is the repeating sequence in the decimal expansion of 1/7. In this number the block 142857 appears contiguously in the middle, preceded by 1321 and followed by 43; 428571, which is 3 × 142857, also appears, underscoring the connection to base-10 cyclic numbers.

The number is composite. Divisibility tests show it is divisible by 11, confirmed by the alternating-sum rule. Indeed 132,142,857,143 = 11 × 12,012,987,013. The quotient 12,012,987,013 is not divisible by 2, 3, 5, or 11. Its full factorization is not widely documented; it may be prime or have larger factors.

In mathematical context, the appearance of 142857 relates to the special properties of the cyclic number associated with 1/7, where multiplying by 2 through 6 yields cyclic rotations of the same digits. The inclusion of this block within the larger number is of interest in recreational number theory and digit-puzzle contexts.

See also: 142857; cyclic number; 1/7.