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131,701

131,701 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.).

131,701 (one hundred thirty-one thousand seven hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20275.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
107,131
Recamán's sequence
a(228,970) = 131,701
Square (n²)
17,345,153,401
Cube (n³)
2,284,374,048,065,101
Divisor count
2
σ(n) — sum of divisors
131,702
φ(n) — Euler's totient
131,700

Primality

131,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,701)
1 × 131701
First multiples
131,701 · 263,402 (double) · 395,103 · 526,804 · 658,505 · 790,206 · 921,907 · 1,053,608 · 1,185,309 · 1,317,010

Sums & aliquot sequence

As a sum of two squares: 151² + 330²
As consecutive integers: 65,850 + 65,851

Continued fraction of √n

√131,701 = [362; (1, 9, 1, 2, 12, 1, 5, 1, 3, 1, 7, 1, 19, 3, 1, 1, 1, 2, 1, 2, 1, 4, 1, 59, …)]

Representations

In words
one hundred thirty-one thousand seven hundred one
Ordinal
131701st
Binary
100000001001110101
Octal
401165
Hexadecimal
0x20275
Base64
AgJ1
One's complement
4,294,835,594 (32-bit)
Scientific notation
1.31701 × 10⁵
As a duration
131,701 s = 1 day, 12 hours, 35 minutes, 1 second
In other bases
ternary (3) 20200122211
quaternary (4) 200021311
quinary (5) 13203301
senary (6) 2453421
septenary (7) 1055653
nonary (9) 220584
undecimal (11) 8aa49
duodecimal (12) 64271
tridecimal (13) 47c3b
tetradecimal (14) 35dd3
pentadecimal (15) 29051

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλαψαʹ
Mayan (base 20)
𝋰·𝋩·𝋥·𝋡
Chinese
一十三萬一千七百零一
Chinese (financial)
壹拾參萬壹仟柒佰零壹
In other modern scripts
Eastern Arabic ١٣١٧٠١ Devanagari १३१७०१ Bengali ১৩১৭০১ Tamil ௧௩௧௭௦௧ Thai ๑๓๑๗๐๑ Tibetan ༡༣༡༧༠༡ Khmer ១៣១៧០១ Lao ໑໓໑໗໐໑ Burmese ၁၃၁၇၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131707.

Unicode codepoint
𠉵
CJK Unified Ideograph-20275
U+20275
Other letter (Lo)

UTF-8 encoding: F0 A0 89 B5 (4 bytes).

Hex color
#020275
RGB(2, 2, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.117.

Address
0.2.2.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.117

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 131,701 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 131701 first appears in π at position 745,946 of the decimal expansion (the 745,946ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.