Properties of the Number 19013

Nineteen Thousand Thirteen

Basics

Value: 19012 → 19013 → 19014

Parity: odd

Prime: Yes

Previous Prime: 19009

Next Prime: 19031

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 19013

Divisors: 1, 19013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101001000101

Octal: 45105

Duodecimal: B005

Hexadecimal: 4a45

Square: 361494169

Square Root: 137.88763541376724

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 of the form j² + (j+1)². A27862

Smaller of two consecutive primes which are anagrams of each other. A69567

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 21. A51962

List of Ormiston prime pairs. A72274

Sum of the largest parts of the partitions of n into 10 parts. A326598

T(n,k)=Number of strings of n numbers x(i) in -k..k with sums of x(i) and of x(i)*x(i+1) both zero. A183944

Primes p such that p² + 4 and p² + 10 are also primes. A237890

Expansion of ∏_{i>=1, j>=0} (1 + x^{i·3^j}). A327726

Triangle T(n,k) read by rows: number of k X k symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n. A138177

Primes p such that the decimal digits of p² can be partitioned into two or more nonzero squares. A48646