Properties of the Number 10127

Ten Thousand One Hundred Twenty-Seven

Basics

Value: 10126 → 10127 → 10128

Parity: odd

Prime: No

Previous Prime: 10111

Next Prime: 10133

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 13 × 19 × 41

Divisors: 1, 13, 19, 41, 247, 533, 779, 10127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011110001111

Octal: 23617

Duodecimal: 5A3B

Hexadecimal: 278f

Square: 102556129

Square Root: 100.63299657666963

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

a(0) = 1, a(n) = 5·n² + 2 for n>0. A10001

Second pentagonal numbers with even index: a(n) = n*(6·n+1). A49453

Number of integer partitions of n that cannot be partitioned into constant multisets with a common sum. A381993

Number of partitions of n in which number of parts is not 2. A58984

Least number whose digits can be used to form exactly n different primes (not necessarily using all digits). A76449

Number of integer partitions of n that are not of length 2 and do not contain n/2. A365825

a(n) = least m such that if r and s in {1/2, 1/5, 1/8, ..., 1/(3n-1)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k. A24837

For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least five digits with a(k). Lexicographically first sequence of positive integers without duplicate terms having this property. A326640

Numbers which may represent a date in "condensed European notation" DDMMYY. A213182

Numbers which may represent a date in "condensed American notation" MMDDYY. A213184