Wednesday, March 3, 2021

Number of the day: 200311

Georg Cantor was born on this day 176 years ago.

Paul Richard Halmos was born on this day 105 years ago.

Properties of the number 200311:

200311 is a cyclic number.
200311 = 17 × 11783 is semiprime and squarefree.
200311 has 2 distinct prime factors, 4 divisors, 7 antidivisors and 188512 totatives.
200311 has a prime digit sum 7 in base 10.
Reversing the decimal digits of 200311 results in an emirpimes.
200311 = 1001562 - 1001552 = 59002 - 58832 is the difference of 2 nonnegative squares in 2 ways.
200311 is the difference of 2 positive pentagonal numbers in 2 ways.
200311 is not the sum of 3 positive squares.
2003112 = 942642 + 1767452 is the sum of 2 positive squares in 1 way.
2003112 is the sum of 3 positive squares.
200311 is a proper divisor of 1361137 - 1.
200311 = '2003' + '11' is the concatenation of 2 prime numbers.
200311 is an emirpimes in (at least) the following bases: 2, 5, 10, 13, 15, 18, 19, 20, 23, 25, 26, 31, 32, 34, 35, 43, 44, 45, 47, 50, 51, 52, 54, 56, 58, 60, 63, 66, 68, 72, 77, 80, 81, 85, 86, 87, 92, 93, and 97.
200311 is palindromic in (at least) the following bases: -70, and -77.

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