Properties of the Number 22013

Twenty-Two Thousand Thirteen

Basics

Value: 22012 → 22013 → 22014

Parity: odd

Prime: Yes

Previous Prime: 22003

Next Prime: 22027

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 22013

Divisors: 1, 22013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010111111101

Octal: 52775

Duodecimal: 108A5

Hexadecimal: 55fd

Square: 484572169

Square Root: 148.36778626103444

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

a(n) = 3·a(n-1) + a(n-2) with a(0)=2 and a(1)=5. A180148

Lexicographically earliest sequence of nonnegative integers such that two distinct terms differ by at least 4 decimal digits. A346000

Largest prime < eⁿ. A40016

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 243", based on the 5-celled von Neumann neighborhood. A280147

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 918", based on the 5-celled von Neumann neighborhood. A284410

Prime(n) and prime(n+2) use the same digits. A69794

a(n+1) is the smallest prime > a(n) such that the digits of a(n) are all (with multiplicity) contained in the digits of a(n+1), with a(1)=2. A242904

Cyclops Sophie-Germain primes. A183058

Seventh prime p such that (p+n)²+n is prime but (p+j)²+j is not prime for all 0<j<n. A238679

Numbers k such that the continued fraction for sqrt(k) has period 77. A20416