Properties of the Number -12100

Twelve Thousand One Hundred

Basics

Value: -12101 → -12100 → -12099

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 4

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 ² × 11 ²

Divisors: 1, 2, 4, 5, 10, 11, 20, 22, 25, 44

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10111101000100

Octal: -27504

Duodecimal: -7004

Hexadecimal: -2f44

Square: 146410000

Square Root: 110

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

Expansion of ∏_k>=1 (1 - x^k)¹². A735

Determinant of the n X n matrix with (i,j)-entry equal to 1 or 0 according as i + j and 4*(i + j)² + 1 are both prime or not. A228561

Expansion of q·f(-q²)¹² + 8·q² * f(-q⁴)¹² in powers of q where f() is a Ramanujan θ function. A227239

Fourier coefficients of the modular form (1/t_6a) * sqrt( 1-12·sqrt(-3)/t_6a ) * F_6a⁶. A341563

Number of n X 2 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal. A206981

Number of ways to place a non-attacking white and black rook on n X n chessboard. A35287

Multiples of 4 whose digits add to 4. A63997

Quarter-squares squared: A002620². A30179

a(n) = (3n+2)². A16790

Products of squares of 2 or more distinct primes. A177492