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131,321

131,321 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.).

131,321 (one hundred thirty-one thousand three hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x200F9.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
123,131
Recamán's sequence
a(24,397) = 131,321
Square (n²)
17,245,205,041
Cube (n³)
2,264,657,571,189,161
Divisor count
2
σ(n) — sum of divisors
131,322
φ(n) — Euler's totient
131,320

Primality

131,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,321)
1 × 131321
First multiples
131,321 · 262,642 (double) · 393,963 · 525,284 · 656,605 · 787,926 · 919,247 · 1,050,568 · 1,181,889 · 1,313,210

Sums & aliquot sequence

As a sum of two squares: 236² + 275²
As consecutive integers: 65,660 + 65,661

Continued fraction of √n

√131,321 = [362; (2, 1, 1, 1, 1, 2, 20, 3, 13, 2, 1, 7, 1, 1, 3, 1, 1, 2, 2, 1, 3, 2, 3, 2, …)]

Representations

In words
one hundred thirty-one thousand three hundred twenty-one
Ordinal
131321st
Binary
100000000011111001
Octal
400371
Hexadecimal
0x200F9
Base64
AgD5
One's complement
4,294,835,974 (32-bit)
Scientific notation
1.31321 × 10⁵
As a duration
131,321 s = 1 day, 12 hours, 28 minutes, 41 seconds
In other bases
ternary (3) 20200010202
quaternary (4) 200003321
quinary (5) 13200241
senary (6) 2451545
septenary (7) 1054601
nonary (9) 220122
undecimal (11) 8a733
duodecimal (12) 63bb5
tridecimal (13) 47a08
tetradecimal (14) 35c01
pentadecimal (15) 28d9b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλατκαʹ
Mayan (base 20)
𝋰·𝋨·𝋦·𝋡
Chinese
一十三萬一千三百二十一
Chinese (financial)
壹拾參萬壹仟參佰貳拾壹
In other modern scripts
Eastern Arabic ١٣١٣٢١ Devanagari १३१३२१ Bengali ১৩১৩২১ Tamil ௧௩௧௩௨௧ Thai ๑๓๑๓๒๑ Tibetan ༡༣༡༣༢༡ Khmer ១៣១៣២១ Lao ໑໓໑໓໒໑ Burmese ၁၃၁၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 131317.

Unicode codepoint
𠃹
CJK Unified Ideograph-200F9
U+200F9
Other letter (Lo)

UTF-8 encoding: F0 A0 83 B9 (4 bytes).

Hex color
#0200F9
RGB(2, 0, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.249.

Address
0.2.0.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.249

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 131,321 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 131321 first appears in π at position 131,715 of the decimal expansion (the 131,715ordinal-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.