Properties of the Number 41012

Forty-One Thousand Twelve

Basics

Value: 41011 → 41012 → 41013

Parity: even

Prime: No

Previous Prime: 41011

Next Prime: 41017

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 10253

Divisors: 1, 2, 4, 10253, 20506, 41012

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000000110100

Octal: 120064

Duodecimal: 1B898

Hexadecimal: a034

Square: 1681984144

Square Root: 202.51419703319567

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 n X k 0..2 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A224262

Number of partitions p of n such that (maximal multiplicity of the parts of p) > (number of distinct parts of p). A240309

Expansion of 1/(1 + x*∏_k>=1 (1 - x^k)). A331484

G.f. A(x) satisfies: 1/(1-x) = ∑_n>=0 xⁿ * ((1+x)ⁿ - A(x))ⁿ, where A(0) = 0. A325575

Numbers k such that the decimal representation of k is contained as substring in that of the k-th triangular number. A119238

Number of n X 4 0..2 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A224258

Number of 5 X n 0..2 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A224265

G.f.: A(x) = exp( ∑_n>=1 C(2n-1,n)²*xⁿ/n ). A158266

Number of (n+1) X 7 0..1 matrices with each 2 X 2 subblock idempotent. A224548

Number of 6 X n 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281474