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131,771

131,771 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.).

131,771 (one hundred thirty-one thousand seven hundred seventy-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x202BB.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
147
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
177,131
Recamán's sequence
a(228,830) = 131,771
Square (n²)
17,363,596,441
Cube (n³)
2,288,018,466,627,011
Divisor count
2
σ(n) — sum of divisors
131,772
φ(n) — Euler's totient
131,770

Primality

131,771 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131771
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,771)
1 × 131771
First multiples
131,771 · 263,542 (double) · 395,313 · 527,084 · 658,855 · 790,626 · 922,397 · 1,054,168 · 1,185,939 · 1,317,710

Sums & aliquot sequence

As consecutive integers: 65,885 + 65,886

Continued fraction of √n

√131,771 = [363; (363, 726)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand seven hundred seventy-one
Ordinal
131771st
Binary
100000001010111011
Octal
401273
Hexadecimal
0x202BB
Base64
AgK7
One's complement
4,294,835,524 (32-bit)
Scientific notation
1.31771 × 10⁵
As a duration
131,771 s = 1 day, 12 hours, 36 minutes, 11 seconds
In other bases
ternary (3) 20200202102
quaternary (4) 200022323
quinary (5) 13204041
senary (6) 2454015
septenary (7) 1056113
nonary (9) 220672
undecimal (11) 90002
duodecimal (12) 6430b
tridecimal (13) 47c93
tetradecimal (14) 36043
pentadecimal (15) 2909b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαψοαʹ
Mayan (base 20)
𝋰·𝋩·𝋨·𝋫
Chinese
一十三萬一千七百七十一
Chinese (financial)
壹拾參萬壹仟柒佰柒拾壹
In other modern scripts
Eastern Arabic ١٣١٧٧١ Devanagari १३१७७१ Bengali ১৩১৭৭১ Tamil ௧௩௧௭௭௧ Thai ๑๓๑๗๗๑ Tibetan ༡༣༡༧༧༡ Khmer ១៣១៧៧១ Lao ໑໓໑໗໗໑ Burmese ၁၃၁၇၇၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131777.

Unicode codepoint
𠊻
CJK Unified Ideograph-202Bb
U+202BB
Other letter (Lo)

UTF-8 encoding: F0 A0 8A BB (4 bytes).

Hex color
#0202BB
RGB(2, 2, 187)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.187.

Address
0.2.2.187
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.187

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 131,771 and was likely granted around 1872.

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

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.