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122,173

122,173 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.).

122,173 (one hundred twenty-two thousand one hundred seventy-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DD3D.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
84
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
371,221
Square (n²)
14,926,241,929
Cube (n³)
1,823,583,755,191,717
Divisor count
2
σ(n) — sum of divisors
122,174
φ(n) — Euler's totient
122,172

Primality

122,173 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122173
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,173)
1 × 122173
First multiples
122,173 · 244,346 (double) · 366,519 · 488,692 · 610,865 · 733,038 · 855,211 · 977,384 · 1,099,557 · 1,221,730

Sums & aliquot sequence

As a sum of two squares: 42² + 347²
As consecutive integers: 61,086 + 61,087

Continued fraction of √n

√122,173 = [349; (1, 1, 7, 5, 1, 1, 57, 1, 2, 2, 5, 1, 6, 1, 2, 19, 14, 4, 1, 1, 1, 7, 25, 1, …)]

Representations

In words
one hundred twenty-two thousand one hundred seventy-three
Ordinal
122173rd
Binary
11101110100111101
Octal
356475
Hexadecimal
0x1DD3D
Base64
Ad09
One's complement
4,294,845,122 (32-bit)
Scientific notation
1.22173 × 10⁵
As a duration
122,173 s = 1 day, 9 hours, 56 minutes, 13 seconds
In other bases
ternary (3) 20012120221
quaternary (4) 131310331
quinary (5) 12402143
senary (6) 2341341
septenary (7) 1016122
nonary (9) 205527
undecimal (11) 83877
duodecimal (12) 5a851
tridecimal (13) 437bc
tetradecimal (14) 32749
pentadecimal (15) 262ed

As an angle

122,173° = 339 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκβρογʹ
Mayan (base 20)
𝋯·𝋥·𝋨·𝋭
Chinese
一十二萬二千一百七十三
Chinese (financial)
壹拾貳萬貳仟壹佰柒拾參
In other modern scripts
Eastern Arabic ١٢٢١٧٣ Devanagari १२२१७३ Bengali ১২২১৭৩ Tamil ௧௨௨௧௭௩ Thai ๑๒๒๑๗๓ Tibetan ༡༢༢༡༧༣ Khmer ១២២១៧៣ Lao ໑໒໒໑໗໓ Burmese ၁၂၂၁၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 122167.

Hex color
#01DD3D
RGB(1, 221, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.61.

Address
0.1.221.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.61

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 122,173 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.