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110,321

110,321 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.).

110,321 (one hundred ten 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, 0x1AEF1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
123,011
Recamán's sequence
a(77,985) = 110,321
Square (n²)
12,170,723,041
Cube (n³)
1,342,686,336,606,161
Divisor count
2
σ(n) — sum of divisors
110,322
φ(n) — Euler's totient
110,320

Primality

110,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 110321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 110,321)
1 × 110321
First multiples
110,321 · 220,642 (double) · 330,963 · 441,284 · 551,605 · 661,926 · 772,247 · 882,568 · 992,889 · 1,103,210

Sums & aliquot sequence

As a sum of two squares: 89² + 320²
As consecutive integers: 55,160 + 55,161

Continued fraction of √n

√110,321 = [332; (6, 1, 5, 1, 1, 7, 1, 3, 4, 8, 1, 6, 2, 2, 4, 2, 11, 2, 2, 2, 1, 1, 1, 1, …)]

Representations

In words
one hundred ten thousand three hundred twenty-one
Ordinal
110321st
Binary
11010111011110001
Octal
327361
Hexadecimal
0x1AEF1
Base64
Aa7x
One's complement
4,294,856,974 (32-bit)
Scientific notation
1.10321 × 10⁵
As a duration
110,321 s = 1 day, 6 hours, 38 minutes, 41 seconds
In other bases
ternary (3) 12121022222
quaternary (4) 122323301
quinary (5) 12012241
senary (6) 2210425
septenary (7) 636431
nonary (9) 177288
undecimal (11) 75982
duodecimal (12) 53a15
tridecimal (13) 3b2a3
tetradecimal (14) 2c2c1
pentadecimal (15) 22a4b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ριτκαʹ
Mayan (base 20)
𝋭·𝋯·𝋰·𝋡
Chinese
一十一萬零三百二十一
Chinese (financial)
壹拾壹萬零參佰貳拾壹
In other modern scripts
Eastern Arabic ١١٠٣٢١ Devanagari ११०३२१ Bengali ১১০৩২১ Tamil ௧௧௦௩௨௧ Thai ๑๑๐๓๒๑ Tibetan ༡༡༠༣༢༡ Khmer ១១០៣២១ Lao ໑໑໐໓໒໑ Burmese ၁၁၀၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 110323.

Hex color
#01AEF1
RGB(1, 174, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.241.

Address
0.1.174.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.174.241

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 110,321 and was likely granted around 1871.

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.