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131,009

131,009 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.).
Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
900,131
Square (n²)
17,163,358,081
Cube (n³)
2,248,554,378,833,729
Divisor count
2
σ(n) — sum of divisors
131,010
φ(n) — Euler's totient
131,008

Primality

131,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,009)
1 × 131009
First multiples
131,009 · 262,018 (double) · 393,027 · 524,036 · 655,045 · 786,054 · 917,063 · 1,048,072 · 1,179,081 · 1,310,090

Sums & aliquot sequence

As a sum of two squares: 80² + 353²
As consecutive integers: 65,504 + 65,505

Continued fraction of √n

√131,009 = [361; (1, 19, 1, 2, 5, 1, 21, 1, 3, 1, 1, 5, 1, 2, 1, 4, 1, 3, 1, 2, 28, 1, 1, 2, …)]

Representations

In words
one hundred thirty-one thousand nine
Ordinal
131009th
Binary
11111111111000001
Octal
377701
Hexadecimal
0x1FFC1
Base64
Af/B
One's complement
4,294,836,286 (32-bit)
Scientific notation
1.31009 × 10⁵
As a duration
131,009 s = 1 day, 12 hours, 23 minutes, 29 seconds
In other bases
ternary (3) 20122201012
quaternary (4) 133333001
quinary (5) 13143014
senary (6) 2450305
septenary (7) 1053644
nonary (9) 218635
undecimal (11) 8a47a
duodecimal (12) 63995
tridecimal (13) 47828
tetradecimal (14) 35a5b
pentadecimal (15) 28c3e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαθʹ
Mayan (base 20)
𝋰·𝋧·𝋪·𝋩
Chinese
一十三萬一千零九
Chinese (financial)
壹拾參萬壹仟零玖
In other modern scripts
Eastern Arabic ١٣١٠٠٩ Devanagari १३१००९ Bengali ১৩১০০৯ Tamil ௧௩௧௦௦௯ Thai ๑๓๑๐๐๙ Tibetan ༡༣༡༠༠༩ Khmer ១៣១០០៩ Lao ໑໓໑໐໐໙ Burmese ၁၃၁၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131011.

Hex color
#01FFC1
RGB(1, 255, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.193.

Address
0.1.255.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.255.193

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 131,009 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 131009 first appears in π at position 90,881 of the decimal expansion (the 90,881ordinal-suffix:st 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.