Properties of the Number -2120

One Hundred Twenty

Basics

Value: -2121 → -2120 → -2119

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 5 × 53

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 53, 106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -100001001000

Octal: -4110

Duodecimal: -1288

Hexadecimal: -848

Square: 4494400

Square Root: 46.04345773288535

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

Generalized Catalan numbers C(-1; n). A64310

Riordan array (1/(1+4x+x²), x/(1+4x+x²)). A159764

Expansion of 1/(1+x·c(x)), c(x) the g.f. of Catalan numbers A000108. A126983

Triangle T(n,k), 0<=k<=n, read by rows given by :[ -1,1,1,1,1,1,1,...] δ [1,0,0,0,0,0,0,0,...] where δ is the operator defined in A084938. A127543

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_j=0..n (-k * (n-j))^j/j!. A351791

Riordan array (1/(1+x·c(x)), x·c(x)) where c(x) is the g.f. of Catalan numbers (A000108). A237619

G.f. A(x) satisfies: 1 = ∑_n>=0 xⁿ * (1 + xⁿ*A(x))ⁿ / (1 + xⁿ⁺¹*A(x))ⁿ⁺¹. A354124

Expansion of f(-x, -x⁵)² / (f(x², x¹⁰) * f(x⁶, x¹⁸)) in powers of·where f(, ) is Ramanujan's general θ function. A283023

Expansion of e.g.f. 1/(1 - x·exp(-4·x)). A351793

exp(sinh(x)+arctan(x))=1+2·x+4/2!*x²+7/3!*x³+8/4!*x⁴+17/5!*x⁵... A13056