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122,389

122,389 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.).

122,389 (one hundred twenty-two thousand three hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DE15.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
864
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
983,221
Square (n²)
14,979,067,321
Cube (n³)
1,833,273,070,349,869
Divisor count
2
σ(n) — sum of divisors
122,390
φ(n) — Euler's totient
122,388

Primality

122,389 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122389
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,389)
1 × 122389
First multiples
122,389 · 244,778 (double) · 367,167 · 489,556 · 611,945 · 734,334 · 856,723 · 979,112 · 1,101,501 · 1,223,890

Sums & aliquot sequence

As a sum of two squares: 58² + 345²
As consecutive integers: 61,194 + 61,195

Continued fraction of √n

√122,389 = [349; (1, 5, 3, 3, 1, 1, 3, 232, 1, 17, 1, 10, 1, 2, 2, 77, 3, 5, 1, 34, 7, 25, 1, 3, …)]

Representations

In words
one hundred twenty-two thousand three hundred eighty-nine
Ordinal
122389th
Binary
11101111000010101
Octal
357025
Hexadecimal
0x1DE15
Base64
Ad4V
One's complement
4,294,844,906 (32-bit)
Scientific notation
1.22389 × 10⁵
As a duration
122,389 s = 1 day, 9 hours, 59 minutes, 49 seconds
In other bases
ternary (3) 20012212221
quaternary (4) 131320111
quinary (5) 12404024
senary (6) 2342341
septenary (7) 1016551
nonary (9) 205787
undecimal (11) 83a53
duodecimal (12) 5a9b1
tridecimal (13) 43927
tetradecimal (14) 32861
pentadecimal (15) 263e4

As an angle

122,389° = 339 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβτπθʹ
Mayan (base 20)
𝋯·𝋥·𝋳·𝋩
Chinese
一十二萬二千三百八十九
Chinese (financial)
壹拾貳萬貳仟參佰捌拾玖
In other modern scripts
Eastern Arabic ١٢٢٣٨٩ Devanagari १२२३८९ Bengali ১২২৩৮৯ Tamil ௧௨௨௩௮௯ Thai ๑๒๒๓๘๙ Tibetan ༡༢༢༣༨༩ Khmer ១២២៣៨៩ Lao ໑໒໒໓໘໙ Burmese ၁၂၂၃၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122387, cousin with 122393.

Hex color
#01DE15
RGB(1, 222, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.21.

Address
0.1.222.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.21

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 122,389 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.