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130,367

130,367 is a prime, 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.).

130,367 (one hundred thirty thousand three hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1FD3F.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Safe Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
763,031
Square (n²)
16,995,554,689
Cube (n³)
2,215,659,478,140,863
Divisor count
2
σ(n) — sum of divisors
130,368
φ(n) — Euler's totient
130,366

Primality

130,367 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 130367
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 130,367)
1 × 130367
First multiples
130,367 · 260,734 (double) · 391,101 · 521,468 · 651,835 · 782,202 · 912,569 · 1,042,936 · 1,173,303 · 1,303,670

Sums & aliquot sequence

As consecutive integers: 65,183 + 65,184

Continued fraction of √n

√130,367 = [361; (15, 1, 2, 3, 3, 13, 3, 9, 2, 3, 4, 27, 1, 1, 5, 1, 1, 1, 1, 3, 7, 2, 2, 7, …)]

Representations

In words
one hundred thirty thousand three hundred sixty-seven
Ordinal
130367th
Binary
11111110100111111
Octal
376477
Hexadecimal
0x1FD3F
Base64
Af0/
One's complement
4,294,836,928 (32-bit)
Scientific notation
1.30367 × 10⁵
As a duration
130,367 s = 1 day, 12 hours, 12 minutes, 47 seconds
In other bases
ternary (3) 20121211102
quaternary (4) 133310333
quinary (5) 13132432
senary (6) 2443315
septenary (7) 1052036
nonary (9) 217742
undecimal (11) 89a46
duodecimal (12) 6353b
tridecimal (13) 47453
tetradecimal (14) 3571d
pentadecimal (15) 28962

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλτξζʹ
Mayan (base 20)
𝋰·𝋥·𝋲·𝋧
Chinese
一十三萬零三百六十七
Chinese (financial)
壹拾參萬零參佰陸拾柒
In other modern scripts
Eastern Arabic ١٣٠٣٦٧ Devanagari १३०३६७ Bengali ১৩০৩৬৭ Tamil ௧௩௦௩௬௭ Thai ๑๓๐๓๖๗ Tibetan ༡༣༠༣༦༧ Khmer ១៣០៣៦៧ Lao ໑໓໐໓໖໗ Burmese ၁၃၀၃၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 130369, cousin with 130363.

Hex color
#01FD3F
RGB(1, 253, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.253.63.

Address
0.1.253.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.253.63

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 130,367 and was likely granted around 1872.

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

Position in π

The digit sequence 130367 first appears in π at position 925,565 of the decimal expansion (the 925,565ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.