Properties of the Number 11271

Eleven Thousand Two Hundred Seventy-One

Basics

Value: 11270 → 11271 → 11272

Parity: odd

Prime: No

Previous Prime: 11261

Next Prime: 11273

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 17 ²

Divisors: 1, 3, 13, 17, 39, 51, 221, 289, 663, 867

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10110000000111

Octal: 26007

Duodecimal: 6633

Hexadecimal: 2c07

Square: 127035441

Square Root: 106.16496597277278

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

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean. A244903

Irregular triangular array, read by rows: T(n,k) is the sum of the products of distinct multinomial coefficients (n₁ + n₂ + n₃ + ...)!/(n₁! * n₂! * n₃! * ...) taken k at a time, where (n₁, n₂, n₃, ...) runs over all integer partitions of n (n >= 0, 0 <= k <= A070289(n)). A325305

Let n = a_1a_2...a_k, where the a_i are digits. a(n) = least multiple of n of the type b_1a_1b_2a_2...a_kb_k+1, obtained by inserting single digits b_i in the gaps and both ends; 0 if no such number exists. A110735

a(n) = n²*(2·n + 5). A163683

a(n) = 9·n² - 11·n + 3. A214660

Sum of all distinct multinomial coefficients M(n;λ), where λ ranges over the partitions of n. A325308

Expansion of (1-x)^-1/(1+x-x²-2·x³). A77901

Expansion of ((η(q)η(q¹⁵))/(η(q³)η(q⁵)))³ in powers of q. A95123

Numbers such that n² = 29 mod 1193. A165989

Number of length n 0..2 arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean. A244897