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131,909

131,909 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.).

131,909 (one hundred thirty-one thousand nine hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20345.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
909,131
Recamán's sequence
a(228,554) = 131,909
Square (n²)
17,399,984,281
Cube (n³)
2,295,214,526,522,429
Divisor count
2
σ(n) — sum of divisors
131,910
φ(n) — Euler's totient
131,908

Primality

131,909 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131909
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,909)
1 × 131909
First multiples
131,909 · 263,818 (double) · 395,727 · 527,636 · 659,545 · 791,454 · 923,363 · 1,055,272 · 1,187,181 · 1,319,090

Sums & aliquot sequence

As a sum of two squares: 97² + 350²
As consecutive integers: 65,954 + 65,955

Continued fraction of √n

√131,909 = [363; (5, 5, 2, 1, 8, 1, 6, 1, 2, 1, 103, 36, 3, 4, 2, 1, 4, 4, 1, 1, 2, 14, 2, 3, …)]

Representations

In words
one hundred thirty-one thousand nine hundred nine
Ordinal
131909th
Binary
100000001101000101
Octal
401505
Hexadecimal
0x20345
Base64
AgNF
One's complement
4,294,835,386 (32-bit)
Scientific notation
1.31909 × 10⁵
As a duration
131,909 s = 1 day, 12 hours, 38 minutes, 29 seconds
In other bases
ternary (3) 20200221112
quaternary (4) 200031011
quinary (5) 13210114
senary (6) 2454405
septenary (7) 1056401
nonary (9) 220845
undecimal (11) 90118
duodecimal (12) 64405
tridecimal (13) 4806b
tetradecimal (14) 36101
pentadecimal (15) 2913e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡθʹ
Mayan (base 20)
𝋰·𝋩·𝋯·𝋩
Chinese
一十三萬一千九百零九
Chinese (financial)
壹拾參萬壹仟玖佰零玖
In other modern scripts
Eastern Arabic ١٣١٩٠٩ Devanagari १३१९०९ Bengali ১৩১৯০৯ Tamil ௧௩௧௯௦௯ Thai ๑๓๑๙๐๙ Tibetan ༡༣༡༩༠༩ Khmer ១៣១៩០៩ Lao ໑໓໑໙໐໙ Burmese ၁၃၁၉၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠍅
CJK Unified Ideograph-20345
U+20345
Other letter (Lo)

UTF-8 encoding: F0 A0 8D 85 (4 bytes).

Hex color
#020345
RGB(2, 3, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.69.

Address
0.2.3.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.69

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 131,909 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 131909 first appears in π at position 579,724 of the decimal expansion (the 579,724ordinal-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.