Properties of the Number 11116

Eleven Thousand One Hundred Sixteen

Basics

Value: 11115 → 11116 → 11117

Parity: even

Prime: No

Previous Prime: 11113

Next Prime: 11117

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 × 397

Divisors: 1, 2, 4, 7, 14, 28, 397, 794, 1588, 2779

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101101100

Octal: 25554

Duodecimal: 6524

Hexadecimal: 2b6c

Square: 123565456

Square Root: 105.43244282477761

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers k such that the decimal expansions of both k and k² have 1 as smallest digit and 6 as largest digit. A257197

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250812

Lexicographically earliest increasing sequence which lists the positions of the zero digits in the sequence. A167519

Numbers using only digits 1 and 6. A284293

Number of non-isomorphic multiset partitions of weight n with no constant parts. A321407

Numbers n for which there are exactly six k such that n = k + (product of nonzero digits of k). A96927

Number of connected 7-colorable (i.e., chromatic number <= 7) simple graphs on n nodes. A76326

Centered 15-gonal numbers: a(n) = (15·n² - 15·n + 2)/2. A69128

Lexicographically earliest sequence of distinct terms such that a(n) is divisible by four and only four digits of a(n+1). A326110

Numbers k such that the continued fraction for sqrt(k) has period 100. A20439