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121,350

121,350 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.).

121,350 (one hundred twenty-one thousand three hundred fifty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 5² × 809. Its proper divisors sum to 179,970, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA06.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
53,121
Square (n²)
14,725,822,500
Cube (n³)
1,786,978,560,375,000
Divisor count
24
σ(n) — sum of divisors
301,320
φ(n) — Euler's totient
32,320
Sum of prime factors
824

Primality

Prime factorization: 2 × 3 × 5 2 × 809

Nearest primes: 121,349 (−1) · 121,351 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 25 · 30 · 50 · 75 · 150 · 809 · 1618 · 2427 · 4045 · 4854 · 8090 · 12135 · 20225 · 24270 · 40450 · 60675 (half) · 121350
Aliquot sum (sum of proper divisors): 179,970
Factor pairs (a × b = 121,350)
1 × 121350
2 × 60675
3 × 40450
5 × 24270
6 × 20225
10 × 12135
15 × 8090
25 × 4854
30 × 4045
50 × 2427
75 × 1618
150 × 809
First multiples
121,350 · 242,700 (double) · 364,050 · 485,400 · 606,750 · 728,100 · 849,450 · 970,800 · 1,092,150 · 1,213,500

Sums & aliquot sequence

As consecutive integers: 40,449 + 40,450 + 40,451 30,336 + 30,337 + 30,338 + 30,339 24,268 + 24,269 + 24,270 + 24,271 + 24,272 10,107 + 10,108 + … + 10,118
Aliquot sequence: 121,350 179,970 314,238 322,818 328,638 328,650 605,814 745,482 745,494 745,506 892,494 1,059,066 1,371,258 2,024,550 3,923,730 6,278,202 10,621,638 — unresolved within range

Continued fraction of √n

√121,350 = [348; (2, 1, 4, 1, 9, 1, 2, 1, 2, 1, 5, 1, 1, 5, 4, 1, 1, 2, 4, 3, 1, 1, 13, 2, …)]

Representations

In words
one hundred twenty-one thousand three hundred fifty
Ordinal
121350th
Binary
11101101000000110
Octal
355006
Hexadecimal
0x1DA06
Base64
AdoG
One's complement
4,294,845,945 (32-bit)
Scientific notation
1.2135 × 10⁵
As a duration
121,350 s = 1 day, 9 hours, 42 minutes, 30 seconds
In other bases
ternary (3) 20011110110
quaternary (4) 131220012
quinary (5) 12340400
senary (6) 2333450
septenary (7) 1013535
nonary (9) 204413
undecimal (11) 83199
duodecimal (12) 5a286
tridecimal (13) 43308
tetradecimal (14) 3231c
pentadecimal (15) 25e50

As an angle

121,350° = 337 × 360° + 30°
30° ≈ 0.524 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκατνʹ
Mayan (base 20)
𝋯·𝋣·𝋧·𝋪
Chinese
一十二萬一千三百五十
Chinese (financial)
壹拾貳萬壹仟參佰伍拾
In other modern scripts
Eastern Arabic ١٢١٣٥٠ Devanagari १२१३५० Bengali ১২১৩৫০ Tamil ௧௨௧௩௫௦ Thai ๑๒๑๓๕๐ Tibetan ༡༢༡༣༥༠ Khmer ១២១៣៥០ Lao ໑໒໑໓໕໐ Burmese ၁၂၁၃၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121350, here are decompositions:

  • 7 + 121343 = 121350
  • 17 + 121333 = 121350
  • 23 + 121327 = 121350
  • 29 + 121321 = 121350
  • 37 + 121313 = 121350
  • 41 + 121309 = 121350
  • 59 + 121291 = 121350
  • 67 + 121283 = 121350

Showing the first eight; more decompositions exist.

Unicode codepoint
𝨆
Signwriting Head Movement Circle
U+1DA06
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D A8 86 (4 bytes).

Hex color
#01DA06
RGB(1, 218, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.6.

Address
0.1.218.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.6

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 121,350 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°.