Properties of the Number 2113

Two Thousand One Hundred Thirteen

Basics

Value: 2112 → 2113 → 2114

Parity: odd

Prime: Yes

Previous Prime: 2111

Next Prime: 2129

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2113

Divisors: 1, 2113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100001000001

Octal: 4101

Duodecimal: 1281

Hexadecimal: 841

Square: 4464769

Square Root: 45.967379738244816

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

Centered square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

Number of partitions of n having an integer median. A325347

Primes whose decimal representation is a valid number in base 4 and interpreted as such is again a prime. A90707

Primes > 1000 in which every substring of length 3 is also prime. A69489

Numbers that are the sum of 5 positive 5th powers. A3350

Numbers > 1000 such that all the substrings of length = 3 are primes (substrings with leading '0' are considered to be nonprime). A211684

Prime numbers > 1000 such that all the substrings of length >= 3 are primes (substrings with leading '0' are considered to be nonprime). A211685

Primes of the form j² + (j+1)². A27862

Primes of the form x² + 24·y². A107008

a(n) = n² - 3. A28872