Properties of the Number 2011

Two Thousand Eleven

Basics

Value: 2010 → 2011 → 2012

Parity: odd

Prime: Yes

Previous Prime: 2003

Next Prime: 2017

Digit Sum: 4

Digital Root: 4

Palindrome: No

Factorization: 2011

Divisors: 1, 2011

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 11111011011

Octal: 3733

Duodecimal: 11B7

Hexadecimal: 7db

Square: 4044121

Square Root: 44.844174649557324

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

Primes p such that 2p-1 is also prime. A5382

Numbers n such that (19ⁿ - 2ⁿ)/17 is prime. A229542

Primes whose decimal representation is a valid number in base 8 and interpreted as such is again a prime. A235394

Number of integer partitions of n with an alternating permutation. A345170

Primes that become a different prime under the mapping 0 <=> 2. A180517

Numbers whose sum of digits is 4. A52218

Indices in A146326 where records occur. A146345

Number of integer partitions of n with a permutation that has no consecutive monotone triple, i.e., no triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344740

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

a(0) = 1; for n > 0, a(n) = 41·n² + 2. A206399

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