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1324 = if D(n) is the nth representation of 1, 2 arranged lexicographically. 1324 is the first non-1 number which is D(D(x)) [237] 1325 = Markov number, [238] centered tetrahedral number [239] 1326 = 51st triangular number, [28] hexagonal number, [29] Mertens function zero; 1327 = first prime followed by 33 consecutive composite numbers
The final digit of a triangular number is 0, 1, 3, 5, 6, or 8, and thus such numbers never end in 2, 4, 7, or 9. A final 3 must be preceded by a 0 or 5; a final 8 must be preceded by a 2 or 7. In base 10, the digital root of a nonzero triangular number is always 1, 3, 6, or 9. Hence, every triangular number is either divisible by three or has a ...
1,857,283,156 : number of 37-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed [37] 1,882,341,361 : The smallest prime whose reversal is a square triangular number (triangular of 57121). 1,921,525,212 : number of partitions of 264 into divisors of 264 [35]
1 / 10 000 One ten-thousandth, [zero] point zero zero zero one, One myriadth, one permyria, one permyriad, one basis point: 0.000 01 1 / 100 000 One hundred-thousandth, [zero] point zero zero zero zero one, One lakhth, one perlakh 0.000 001 1 / 1 000 000 One millionth, [zero] point zero zero zero zero zero one, One ppm ...
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Hyphenate all numbers under 100 that need more than one word. For example, $73 is written as “seventy-three,” and the words for $43.50 are “Forty-three and 50/100.”
Each centered triangular number has a remainder of 1 when divided by 3, and the quotient (if positive) is the previous regular triangular number. Each centered triangular number from 10 onwards is the sum of three consecutive regular triangular numbers. For n > 2, the sum of the first n centered triangular numbers is the magic constant for an n ...
à la short for (ellipsis of) à la manière de; in the manner of/in the style of [1]à la carte lit. "on the card, i.e. menu". In restaurants it refers to ordering individual dishes from the menu rather than a fixed-price meal.