Properties of the Number 11165

Eleven Thousand One Hundred Sixty-Five

Basics

Value: 11164 → 11165 → 11166

Parity: odd

Prime: No

Previous Prime: 11161

Next Prime: 11171

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 7 × 11 × 29

Divisors: 1, 5, 7, 11, 29, 35, 55, 77, 145, 203

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101110011101

Octal: 25635

Duodecimal: 6565

Hexadecimal: 2b9d

Square: 124657225

Square Root: 105.66456359631643

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

Jablonski table T(n,k) read by antidiagonals: T(n,k) = number of necklaces with n beads of k colors. A75195

Nondescending wiggly sums: number of sums adding to n in which terms alternately do not decrease and do not increase. A129852

Number of n-bead necklaces with 5 colors. A1869

Triangle read by rows: row n (n >= 1) contains the numbers T(n,k) = ∑_d∣n φ(d)*k^n/d/n, for k=1..n. A54631

Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's. A49357

Arithmetic derivative of the factorial base exp-function: a(n) = A003415(A276076(n)). A351950

Table read by antidiagonals: T(n,k) = number of distinct n X k toroidal 0..4 arrays. A184288

Number of ways to color vertices of a heptagon using <= n colors, allowing only rotations. A54621

Composite numbers k with no prime factor among (2, 3) (cf. A038509) and such that φ(k) < 2·k/3. A69043

Numbers n not divisible by 2 or 3 such that k^k == k+1 (mod n) has no nonzero solutions. A191834