Live analysis

130,013

130,013 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

130,013 (one hundred thirty thousand thirteen) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 13 × 73 × 137. Written other ways, in hexadecimal, 0x1FBDD.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

130,001 130,002 130,003 130,004 130,005 130,006 130,007 130,008 130,009 130,010 130,011 130,012 130,013 130,014 130,015 130,016 130,017 130,018 130,019 130,020 130,021 130,022 130,023 130,024 130,025

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 310,031
Recamán's sequence: a(33,782) = 130,013
Square (n²): 16,903,380,169
Cube (n³): 2,197,659,165,912,197
Divisor count: 8
σ(n) — sum of divisors: 142,968
φ(n) — Euler's totient: 117,504
Sum of prime factors: 223

Primality

Prime factorization: 13 × 73 × 137

Nearest primes: 130,003 (−10) · 130,021 (+8)

Divisors & multiples

All divisors (8)

1 · 13 · 73 · 137 · 949 · 1781 · 10001 · 130013

Aliquot sum (sum of proper divisors): 12,955

Factor pairs (a × b = 130,013)

1 × 130013

13 × 10001

73 × 1781

137 × 949

First multiples

130,013 · 260,026 (double) · 390,039 · 520,052 · 650,065 · 780,078 · 910,091 · 1,040,104 · 1,170,117 · 1,300,130

Sums & aliquot sequence

As a sum of two squares: 43² + 358² = 98² + 347² = 197² + 302² = 203² + 298²

As consecutive integers: 65,006 + 65,007 9,995 + 9,996 + … + 10,007 4,988 + 4,989 + … + 5,013 1,745 + 1,746 + … + 1,817

Aliquot sequence: 130,013 → 12,955 → 2,597 → 481 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√130,013 = [360; (1, 1, 2, 1, 11, 9, 3, 1, 1, 3, 9, 11, 1, 2, 1, 1, 720)]

Period length 17 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty thousand thirteen
Ordinal: 130013th
Binary: 11111101111011101
Octal: 375735
Hexadecimal: 0x1FBDD
Base64: Afvd
One's complement: 4,294,837,282 (32-bit)
Scientific notation: 1.30013 × 10⁵
As a duration: 130,013 s = 1 day, 12 hours, 6 minutes, 53 seconds

In other bases

ternary (3) 20121100022

quaternary (4) 133233131

quinary (5) 13130023

senary (6) 2441525

septenary (7) 1051022

nonary (9) 217308

undecimal (11) 89754

duodecimal (12) 632a5

tridecimal (13) 47240

tetradecimal (14) 35549

pentadecimal (15) 287c8

As an angle

130,013° = 361 × 360° + 53°

53° ≈ 0.925 rad

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ρλιγʹ
Mayan (base 20): 𝋰·𝋥·𝋠·𝋭
Chinese: 一十三萬零一十三
Chinese (financial): 壹拾參萬零壹拾參

In other modern scripts

Eastern Arabic ١٣٠٠١٣ Devanagari १३००१३ Bengali ১৩০০১৩ Tamil ௧௩௦௦௧௩ Thai ๑๓๐๐๑๓ Tibetan ༡༣༠༠༡༣ Khmer ១៣០០១៣ Lao ໑໓໐໐໑໓ Burmese ၁၃၀၀၁၃

Also seen as

Unicode codepoint

🯝

Box Drawings Light Diagonal Upper Right To Middle Left To Lower Right

U+1FBDD

Other symbol (So)

UTF-8 encoding: F0 9F AF 9D (4 bytes).

Lookup U+1FBDD on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01FBDD

RGB(1, 251, 221)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.221.

Address: 0.1.251.221
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.251.221

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 130,013 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US130,013 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 130013 first appears in π at position 657,595 of the decimal expansion (the 657,595ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 130013 on Pi Search ↗