Thousands of dating numbers

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contains 101 and doesn't contain 11011, and it is a harshad nnumber in bases 5, 10, 15, 20, 25, 30, 35, 40, 50, 50, 55, 60, 65, 70, 75 (and 202 other bases) and it's a number in the sequence starting at 74: 74, 198, 345, 1011, 2769, 5045, 8296, 16666, 32964...1709 – first of a sequence of eight primes formed by adding 57 in the middle.

1709, 175709, 17575709, 1757575709, 175757575709, 17575757575709, 1757575757575757575757575709 are all prime, but 17575757575757575709 = 232433 × 756164467857731729 – taxicab number, Carmichael number, Zeisel number, centered cube number, Hardy–Ramanujan number.

In the decimal expansion of e the first time all 10 digits appear in sequence starts at the 1729th decimal place.

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