Number of the day: 11111

Pierre-Simon Laplace was born on this day 272 years ago.

Emmy Noether was born on this day 139 years ago.

Properties of the number 11111:

11111 is a cyclic number.
11111 = 41 × 271 is semiprime and squarefree.
11111 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 10800 totatives.
11111 has a prime digit sum 5 in base 10.
11111 has a Fibonacci digit sum 5 in base 10.
11111 has a Fibonacci digit product 1 in base 10.
11111 has a triangular digit product 1 in base 10.
11111 = 5556² - 5555² = 156² - 115² is the difference of 2 nonnegative squares in 2 ways.
11111 is the difference of 2 positive pentagonal numbers in 2 ways.
11111 is not the sum of 3 positive squares.
11111² = 2439² + 10840² is the sum of 2 positive squares in 1 way.
11111² is the sum of 3 positive squares.
11111 is a proper divisor of 1439¹⁰ - 1.
11111 is an emirpimes in (at least) the following bases: 3, 5, 8, 11, 16, 17, 19, 20, 21, 22, 23, 25, 27, 29, 31, 32, 33, 35, 39, 43, 44, 49, 51, 53, 54, 55, 56, 58, 61, 65, 66, 67, 75, 77, 79, 81, 84, 85, 86, 87, 89, 96, 99, and 100.
11111 is a palindrome (in base 10).
11111 is palindromic in (at least) base 69.
11111 consists of only the digit '1'.

The number 11111 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000042: Unary representation of natural numbers.
A002275: Repunits: (10^n - 1)/9. Often denoted by R_n.
A002778: Numbers whose square is a palindrome.
A004676: Primes written in base 2.
A007088: The binary numbers (or binary words, or binary vectors): numbers written in base 2.
A007931: Numbers that contain only 1's and 2's. Nonempty binary strings of length n in lexicographic order.
A010785: Repdigit numbers, or numbers with repeated digits.
A039724: Numbers in base -2.
A053699: a(n) = n^4 + n^3 + n^2 + n + 1.
A057148: Palindromes only using 0 and 1 (i.e., base 2 palindromes).