Properties of the Number -1111

One Hundred Eleven

Basics

Value: -1112 → -1111 → -1110

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 4

Digital Root: 4

Palindrome: Yes

Factorization: 11 × 101

Divisors: 1, 11, 101, 1111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10001010111

Octal: -2127

Duodecimal: -787

Hexadecimal: -457

Square: 1234321

Square Root: 33.331666624997915

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

G.f. A(x) satisfies: A(x) = A(x³ - x⁵)/x². A350479

Triangle of coefficients, read by row polynomials P_n(y), that satisfy the g.f.: A038497(x,y) = ∏_n>=1 1/(1-xⁿ)^[P_n(y)/n], with P_n(0)=0 for n>=1 and P₀(0)=1. A96797

Inverse of number triangle A(n,k) = 1/((10·10ⁿ-1)/9) if k <= n <= 2k, 0 otherwise. A127805

The y-axis intercept of the line y = n·x + b tangent to the curve y = prime(k), k = 1, 2, 3, .... A232879

Alternating sum of 12-gonal (or dodecagonal) numbers. A266088

Expansion of e.g.f. exp(exp(x·exp(-x)) - 1). A316159

Repunits: (10ⁿ - 1)/9. Often denoted by R_n. A2275

The binary numbers (or binary words, or binary vectors, or binary expansion of n): numbers written in base 2. A7088

Numbers in base 3. A7089

Integers written in factorial base. A7623