Properties of the Number 10213

Ten Thousand Two Hundred Thirteen

Basics

Value: 10212 → 10213 → 10214

Parity: odd

Prime: No

Previous Prime: 10211

Next Prime: 10223

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 7 × 1459

Divisors: 1, 7, 1459, 10213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011111100101

Octal: 23745

Duodecimal: 5AB1

Hexadecimal: 27e5

Square: 104305369

Square Root: 101.05938848023968

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 (maximal multiplicity over the parts of p) = number of 1s in p. A241131

Multiples of 7 whose sum of digits is equal to 7. A63416

T(n,k) is the number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors. A200886

T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock summing to 8. A183652

T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor. A203057

Smallest number of each digital type. A266946

Numbers n such that N = n³ is a twin rank (A002822: 6N +- 1 are twin primes). A326234

Number of partitions that are "3-close" to being self-conjugate. A108962

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..2 nXk array. A217547

a(n) = floor((10·n³ + 57·n² + 102·n + 72) / 72). A254875