Happy New Year!
Properties of the number 2018:
2018 = 2 × 1009 is semiprime and squarefree.2018 has 2 distinct prime factors, 4 divisors, 9 antidivisors and 1008 totatives.
2018 has a prime digit sum 11 in base 10.
Reversing the decimal digits of 2018 results in an emirpimes.
2018 = 72 + … + 182 is the sum of at least 2 consecutive positive squares in 1 way.
2018 = 132 + 432 is the sum of 2 positive squares in 1 way.
2018 = 92 + 162 + 412 is the sum of 3 positive squares.
20182 = 11182 + 16802 is the sum of 2 positive squares in 1 way.
20182 is the sum of 3 positive squares.
2018 is a proper divisor of 15494 - 1.
2018 is an emirpimes in (at least) the following bases: 5, 8, 10, 11, 12, 13, 14, 17, 19, 21, 22, 25, 27, 29, 31, 38, 42, 45, 46, 49, 55, 57, 63, 65, 67, 69, 74, 76, 78, 80, 83, 85, 87, 90, 91, 95, 96, and 97.
2018 is palindromic in (at least) the following bases: 15, 28, -31, -32, -36, and -42.
2018 in base 3 = 2202202 and consists of only the digits '0' and '2'.
2018 in base 15 = 8e8 and consists of only the digits '8' and 'e'.
2018 in base 27 = 2kk and consists of only the digits '2' and 'k'.
2018 in base 28 = 2g2 and consists of only the digits '2' and 'g'.
2018 in base 31 = 233 and consists of only the digits '2' and '3'.
2018 in base 44 = 11c and consists of only the digits '1' and 'c'.