Properties of the Number -10101010101

Ten Billion One Hundred One Million Ten Thousand One Hundred One

Basics

Value: -10101010102 → -10101010101 → -10101010100

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 6

Digital Root: 6

Palindrome: Yes

Factorization: 3 × 7 × 13 × 37 × 101 × 9901

Divisors: 1, 3, 7, 13, 21, 37, 39, 91, 101, 111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -1001011010000100010010111010110101

Octal: -113204227265

Duodecimal: -1B5A983B59

Hexadecimal: -25a112eb5

Square: 102030405060504030201

Square Root: 100503.78152587096

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

Expansion of 1/((1-x)*(1-100·x)). A94028

Alternate digits 1 and 0. A56830

Numbers of the form (10^m·r-1)/(10^r-1) for positive integers m, r. A76289

Palindromes formed from the reflected decimal expansion of the infinite concatenation of 1's and 0's. A147759

Positions of positive coefficients in cyclotomic polynomial Phi_n(x), A063696 in binary. A63697

Binary representation of the n-th iteration of the "Rule 28" elementary cellular automaton starting with a single ON (black) cell. A266508

Binary representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 131", based on the 5-celled von Neumann neighborhood. A279053

Binary representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 678", based on the 5-celled von Neumann neighborhood. A283641

First 3 terms coincide with A152756. For n>3, a(n) is the palindromic number formed from concatenation of 1, 0, A147759(n-3), 0, A147759(n-3), 0 and 1. A153500

(100ⁿ,1) Pascal triangle. A164847