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132,313

132,313 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.).

132,313 (one hundred thirty-two thousand three hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x204D9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
54
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
313,231
Recamán's sequence
a(227,746) = 132,313
Square (n²)
17,506,729,969
Cube (n³)
2,316,367,962,388,297
Divisor count
2
σ(n) — sum of divisors
132,314
φ(n) — Euler's totient
132,312

Primality

132,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,313)
1 × 132313
First multiples
132,313 · 264,626 (double) · 396,939 · 529,252 · 661,565 · 793,878 · 926,191 · 1,058,504 · 1,190,817 · 1,323,130

Sums & aliquot sequence

As a sum of two squares: 187² + 312²
As consecutive integers: 66,156 + 66,157

Continued fraction of √n

√132,313 = [363; (1, 2, 1, 42, 22, 1, 2, 2, 5, 1, 1, 2, 2, 4, 1, 2, 37, 1, 14, 5, 2, 18, 5, 30, …)]

Representations

In words
one hundred thirty-two thousand three hundred thirteen
Ordinal
132313th
Binary
100000010011011001
Octal
402331
Hexadecimal
0x204D9
Base64
AgTZ
One's complement
4,294,834,982 (32-bit)
Scientific notation
1.32313 × 10⁵
As a duration
132,313 s = 1 day, 12 hours, 45 minutes, 13 seconds
In other bases
ternary (3) 20201111111
quaternary (4) 200103121
quinary (5) 13213223
senary (6) 2500321
septenary (7) 1060516
nonary (9) 221444
undecimal (11) 90455
duodecimal (12) 646a1
tridecimal (13) 482bc
tetradecimal (14) 3630d
pentadecimal (15) 2930d

As an angle

132,313° = 367 × 360° + 193°
193° ≈ 3.368 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλβτιγʹ
Mayan (base 20)
𝋰·𝋪·𝋯·𝋭
Chinese
一十三萬二千三百一十三
Chinese (financial)
壹拾參萬貳仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٣٢٣١٣ Devanagari १३२३१३ Bengali ১৩২৩১৩ Tamil ௧௩௨௩௧௩ Thai ๑๓๒๓๑๓ Tibetan ༡༣༢༣༡༣ Khmer ១៣២៣១៣ Lao ໑໓໒໓໑໓ Burmese ၁၃၂၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠓙
CJK Unified Ideograph-204D9
U+204D9
Other letter (Lo)

UTF-8 encoding: F0 A0 93 99 (4 bytes).

Hex color
#0204D9
RGB(2, 4, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.217.

Address
0.2.4.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.217

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 132,313 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.