Properties of the Number 2101

Two Thousand One Hundred One

Basics

Value: 2100 → 2101 → 2102

Parity: odd

Prime: No

Previous Prime: 2099

Next Prime: 2111

Digit Sum: 4

Digital Root: 4

Palindrome: No

Factorization: 11 × 191

Divisors: 1, 11, 191, 2101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000110101

Octal: 4065

Duodecimal: 1271

Hexadecimal: 835

Square: 4414201

Square Root: 45.83666654546336

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

Number of partitions p of n such that median(p) = mean(p). A240219

11-gonal (or hendecagonal) numbers: a(n) = n*(9·n-7)/2. A51682

a(n) = ∑_k=1..n n/gcd(n,k). A57660

Centered heptagonal numbers. A69099

Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes. A7811

Generalized 11-gonal (or hendecagonal) numbers: m*(9·m - 7)/2 with m = 0, 1, -1, 2, -2, 3, -3, ... A195160

Square array of nexus numbers a(n,k) = (n+1)^k+1 - n^k+1 (n >= 0, k >= 0) read by upwards antidiagonals. A47969

Centered 10-gonal numbers. A62786

Numbers whose sum of digits is 4. A52218

Representation of n in base of Catalan numbers (a classic greedy version). A14418