Properties of the Number 78101

Seventy-Eight Thousand One Hundred One

Basics

Value: 78100 → 78101 → 78102

Parity: odd

Prime: Yes

Previous Prime: 78079

Next Prime: 78121

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 78101

Divisors: 1, 78101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000100010101

Octal: 230425

Duodecimal: 39245

Hexadecimal: 13115

Square: 6099766201

Square Root: 279.46556138458277

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

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,1,1,1 for x=0,1,2,3,4. A197401

a(n) = ∑_{1 <= x₁, x₂, x₃, x₄, x₅ <= n} ( n/gcd(x₁, x₂, x₃, x₄, x₅, n) )². A373007

(2,3,5,7)-primes (see comments for precise definition). A262728

Primes of the form (n²+1)/26. A208292

Prime numbers ending in the prime number 101. A167626

Triangle read by rows: distribution of adjacent transpositions in involutions. A217876

Strong (2,3,5)-primes (see comments). A262727

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,3,1,1,1 for x=0,1,2,3,4. A197397

Number of nX7 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,3,1,1,1 for x=0,1,2,3,4. A197400

Artiads (A001583) congruent to 1 mod 50 and for which 5 is a quintic residue. A271210