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121,338

121,338 is a composite number, even.

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.).

121,338 (one hundred twenty-one thousand three hundred thirty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2 × 3⁴ × 7 × 107. Its proper divisors sum to 192,294, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D9FA.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
833,121
Square (n²)
14,722,910,244
Cube (n³)
1,786,448,483,186,472
Divisor count
40
σ(n) — sum of divisors
313,632
φ(n) — Euler's totient
34,344
Sum of prime factors
128

Primality

Prime factorization: 2 × 3 4 × 7 × 107

Nearest primes: 121,333 (−5) · 121,343 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 54 · 63 · 81 · 107 · 126 · 162 · 189 · 214 · 321 · 378 · 567 · 642 · 749 · 963 · 1134 · 1498 · 1926 · 2247 · 2889 · 4494 · 5778 · 6741 · 8667 · 13482 · 17334 · 20223 · 40446 · 60669 (half) · 121338
Aliquot sum (sum of proper divisors): 192,294
Factor pairs (a × b = 121,338)
1 × 121338
2 × 60669
3 × 40446
6 × 20223
7 × 17334
9 × 13482
14 × 8667
18 × 6741
21 × 5778
27 × 4494
42 × 2889
54 × 2247
63 × 1926
81 × 1498
107 × 1134
126 × 963
162 × 749
189 × 642
214 × 567
321 × 378
First multiples
121,338 · 242,676 (double) · 364,014 · 485,352 · 606,690 · 728,028 · 849,366 · 970,704 · 1,092,042 · 1,213,380

Sums & aliquot sequence

As consecutive integers: 40,445 + 40,446 + 40,447 30,333 + 30,334 + 30,335 + 30,336 17,331 + 17,332 + … + 17,337 13,478 + 13,479 + … + 13,486
Aliquot sequence: 121,338 192,294 238,950 436,230 737,514 860,472 1,807,128 3,348,672 5,649,024 9,724,416 18,232,128 35,828,978 20,149,582 10,457,618 6,151,594 3,075,800 5,777,800 — unresolved within range

Continued fraction of √n

√121,338 = [348; (2, 1, 40, 3, 5, 2, 1, 1, 1, 2, 1, 1, 1, 2, 5, 3, 40, 1, 2, 696)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand three hundred thirty-eight
Ordinal
121338th
Binary
11101100111111010
Octal
354772
Hexadecimal
0x1D9FA
Base64
Adn6
One's complement
4,294,845,957 (32-bit)
Scientific notation
1.21338 × 10⁵
As a duration
121,338 s = 1 day, 9 hours, 42 minutes, 18 seconds
In other bases
ternary (3) 20011110000
quaternary (4) 131213322
quinary (5) 12340323
senary (6) 2333430
septenary (7) 1013520
nonary (9) 204400
undecimal (11) 83188
duodecimal (12) 5a276
tridecimal (13) 432c9
tetradecimal (14) 32310
pentadecimal (15) 25e43

As an angle

121,338° = 337 × 360° + 18°
18° ≈ 0.314 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκατληʹ
Mayan (base 20)
𝋯·𝋣·𝋦·𝋲
Chinese
一十二萬一千三百三十八
Chinese (financial)
壹拾貳萬壹仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٢١٣٣٨ Devanagari १२१३३८ Bengali ১২১৩৩৮ Tamil ௧௨௧௩௩௮ Thai ๑๒๑๓๓๘ Tibetan ༡༢༡༣༣༨ Khmer ១២១៣៣៨ Lao ໑໒໑໓໓໘ Burmese ၁၂၁၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121338, here are decompositions:

  • 5 + 121333 = 121338
  • 11 + 121327 = 121338
  • 17 + 121321 = 121338
  • 29 + 121309 = 121338
  • 47 + 121291 = 121338
  • 67 + 121271 = 121338
  • 71 + 121267 = 121338
  • 79 + 121259 = 121338

Showing the first eight; more decompositions exist.

Unicode codepoint
𝧺
Signwriting Dynamic Relaxed
U+1D9FA
Other symbol (So)

UTF-8 encoding: F0 9D A7 BA (4 bytes).

Hex color
#01D9FA
RGB(1, 217, 250)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.250.

Address
0.1.217.250
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.250

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 121,338 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.