Number of the day: 1101

Camille Jordan was born on this day 180 years ago.

Properties of the number 1101:

1101 = 3 × 367 is semiprime and squarefree.
1101 has 2 distinct prime factors, 4 divisors, 5 antidivisors and 732 totatives.
1101 has a prime digit sum 3 in base 10.
1101 has a Fibonacci digit sum 3 in base 10.
1101 has a triangular digit sum 3 in base 10.
Reversing the decimal digits of 1101 results in an emirpimes.
1101 = 551² - 550² = 185² - 182² is the difference of 2 nonnegative squares in 2 ways.
1101 is the sum of 2 positive triangular numbers.
1101 is the difference of 2 positive pentagonal numbers in 1 way.
1101 = 11² + 14² + 28² is the sum of 3 positive squares.
1101² is the sum of 3 positive squares.
1101 is a proper divisor of 733² - 1.
1101 is an emirpimes in (at least) the following bases: 3, 7, 9, 10, 11, 12, 17, 21, 29, 31, 33, 35, 41, 44, 48, 49, 52, 54, 59, 61, 62, 64, 65, 66, 67, 69, 71, 72, 73, 75, 81, 83, 87, 89, 91, 93, 95, 96, 97, 99, and 100.
1101 is palindromic in (at least) the following bases: 18, 25, -44, -50, -55, and -100.
1101 consists of only the digits '0' and '1'.
1101 in base 11 = 911 and consists of only the digits '1' and '9'.
1101 in base 12 = 779 and consists of only the digits '7' and '9'.
1101 in base 13 = 669 and consists of only the digits '6' and '9'.
1101 in base 16 = 44d and consists of only the digits '4' and 'd'.
1101 in base 17 = 3dd and consists of only the digits '3' and 'd'.
1101 in base 18 = 373 and consists of only the digits '3' and '7'.
1101 in base 24 = 1ll and consists of only the digits '1' and 'l'.
1101 in base 25 = 1j1 and consists of only the digits '1' and 'j'.

The number 1101 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A004676: Primes written in base 2.
A004685: Fibonacci numbers written in base 2.
A007088: The binary numbers: numbers written in base 2.
A007089: Numbers in base 3.
A007623: Integers written in factorial base.
A014418: Representation of n in base of Catalan numbers (a classic greedy version).
A049345: n written in primorial base.
A052217: Numbers whose sum of digits is 3.
A058943: Coefficients of irreducible polynomials over GF(2) listed in lexicographic order.
A061909: Skinny numbers: numbers n such that there are no carries when n is squared by "long multiplication".