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122,833

122,833 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.).

122,833 (one hundred twenty-two thousand eight hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DFD1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
288
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
338,221
Square (n²)
15,087,945,889
Cube (n³)
1,853,297,657,383,537
Divisor count
2
σ(n) — sum of divisors
122,834
φ(n) — Euler's totient
122,832

Primality

122,833 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122833
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,833)
1 × 122833
First multiples
122,833 · 245,666 (double) · 368,499 · 491,332 · 614,165 · 736,998 · 859,831 · 982,664 · 1,105,497 · 1,228,330

Sums & aliquot sequence

As a sum of two squares: 72² + 343²
As consecutive integers: 61,416 + 61,417

Continued fraction of √n

√122,833 = [350; (2, 9, 1, 1, 1, 13, 1, 18, 77, 1, 4, 1, 9, 3, 14, 3, 1, 1, 3, 1, 1, 8, 10, 1, …)]

Representations

In words
one hundred twenty-two thousand eight hundred thirty-three
Ordinal
122833rd
Binary
11101111111010001
Octal
357721
Hexadecimal
0x1DFD1
Base64
Ad/R
One's complement
4,294,844,462 (32-bit)
Scientific notation
1.22833 × 10⁵
As a duration
122,833 s = 1 day, 10 hours, 7 minutes, 13 seconds
In other bases
ternary (3) 20020111101
quaternary (4) 131333101
quinary (5) 12412313
senary (6) 2344401
septenary (7) 1021054
nonary (9) 206441
undecimal (11) 84317
duodecimal (12) 5b101
tridecimal (13) 43ba9
tetradecimal (14) 32a9b
pentadecimal (15) 265dd
Palindromic in base 16

As an angle

122,833° = 341 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκβωλγʹ
Mayan (base 20)
𝋯·𝋧·𝋡·𝋭
Chinese
一十二萬二千八百三十三
Chinese (financial)
壹拾貳萬貳仟捌佰參拾參
In other modern scripts
Eastern Arabic ١٢٢٨٣٣ Devanagari १२२८३३ Bengali ১২২৮৩৩ Tamil ௧௨௨௮௩௩ Thai ๑๒๒๘๓๓ Tibetan ༡༢༢༨༣༣ Khmer ១២២៨៣៣ Lao ໑໒໒໘໓໓ Burmese ၁၂၂၈၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 122827, sexy with 122839.

Hex color
#01DFD1
RGB(1, 223, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.209.

Address
0.1.223.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.209

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 122,833 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.