Properties of the Number 11107

Eleven Thousand One Hundred Seven

Basics

Value: 11106 → 11107 → 11108

Parity: odd

Prime: No

Previous Prime: 11093

Next Prime: 11113

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 29 × 383

Divisors: 1, 29, 383, 11107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101100011

Octal: 25543

Duodecimal: 6517

Hexadecimal: 2b63

Square: 123365449

Square Root: 105.3897528225586

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 zero-sum -k..k arrays of n elements with first and second differences also in -k..k. A201873

Numbers k such that σ(k) divides σ(φ(k)). A66831

Numbers n such that σ(φ(n))/σ(n) = 2. A67382

A185243(n) is the a(n)-th triangular number. A185257

Number of Dyck paths of semilength n such that all positive levels have the same number of peaks. A287987

Irregular table whose rows are the nontrivial cycles of the ghost iteration A329200, ordered by increasing smallest member, always listed first. A329196

Maximum position in A072645 where the value n occurs. A72654

a(n) = ∑_k=1..n (-1)^k-1 * binomial(floor(n/k)+2,3). A366395

Expansion of (1/x) * Series_Reversion( x / (1/(1-x)² + x) ). A369616

Number of step shifted (decimated) sequence structures using a maximum of four different symbols. A56393