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121,550

121,550 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.).

121,550 (one hundred twenty-one thousand five hundred fifty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 5² × 11 × 13 × 17. Its proper divisors sum to 159,682, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DACE.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
55,121
Square (n²)
14,774,402,500
Cube (n³)
1,795,828,623,875,000
Divisor count
48
σ(n) — sum of divisors
281,232
φ(n) — Euler's totient
38,400
Sum of prime factors
53

Primality

Prime factorization: 2 × 5 2 × 11 × 13 × 17

Nearest primes: 121,547 (−3) · 121,553 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 5 · 10 · 11 · 13 · 17 · 22 · 25 · 26 · 34 · 50 · 55 · 65 · 85 · 110 · 130 · 143 · 170 · 187 · 221 · 275 · 286 · 325 · 374 · 425 · 442 · 550 · 650 · 715 · 850 · 935 · 1105 · 1430 · 1870 · 2210 · 2431 · 3575 · 4675 · 4862 · 5525 · 7150 · 9350 · 11050 · 12155 · 24310 · 60775 (half) · 121550
Aliquot sum (sum of proper divisors): 159,682
Factor pairs (a × b = 121,550)
1 × 121550
2 × 60775
5 × 24310
10 × 12155
11 × 11050
13 × 9350
17 × 7150
22 × 5525
25 × 4862
26 × 4675
34 × 3575
50 × 2431
55 × 2210
65 × 1870
85 × 1430
110 × 1105
130 × 935
143 × 850
170 × 715
187 × 650
221 × 550
275 × 442
286 × 425
325 × 374
First multiples
121,550 · 243,100 (double) · 364,650 · 486,200 · 607,750 · 729,300 · 850,850 · 972,400 · 1,093,950 · 1,215,500

Sums & aliquot sequence

As consecutive integers: 30,386 + 30,387 + 30,388 + 30,389 24,308 + 24,309 + 24,310 + 24,311 + 24,312 11,045 + 11,046 + … + 11,055 9,344 + 9,345 + … + 9,356
Aliquot sequence: 121,550 159,682 79,844 59,890 50,918 36,394 20,054 10,954 5,480 6,940 7,676 6,604 5,940 14,220 29,460 53,196 97,332 — unresolved within range

Continued fraction of √n

√121,550 = [348; (1, 1, 1, 3, 1, 1, 6, 1, 6, 27, 1, 2, 1, 13, 2, 13, 1, 2, 1, 27, 6, 1, 6, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand five hundred fifty
Ordinal
121550th
Binary
11101101011001110
Octal
355316
Hexadecimal
0x1DACE
Base64
AdrO
One's complement
4,294,845,745 (32-bit)
Scientific notation
1.2155 × 10⁵
As a duration
121,550 s = 1 day, 9 hours, 45 minutes, 50 seconds
In other bases
ternary (3) 20011201212
quaternary (4) 131223032
quinary (5) 12342200
senary (6) 2334422
septenary (7) 1014242
nonary (9) 204655
undecimal (11) 83360
duodecimal (12) 5a412
tridecimal (13) 43430
tetradecimal (14) 32422
pentadecimal (15) 26035

As an angle

121,550° = 337 × 360° + 230°
230° ≈ 4.014 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκαφνʹ
Mayan (base 20)
𝋯·𝋣·𝋱·𝋪
Chinese
一十二萬一千五百五十
Chinese (financial)
壹拾貳萬壹仟伍佰伍拾
In other modern scripts
Eastern Arabic ١٢١٥٥٠ Devanagari १२१५५० Bengali ১২১৫৫০ Tamil ௧௨௧௫௫௦ Thai ๑๒๑๕๕๐ Tibetan ༡༢༡༥༥༠ Khmer ១២១៥៥០ Lao ໑໒໑໕໕໐ Burmese ၁၂၁၅၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121550, here are decompositions:

  • 3 + 121547 = 121550
  • 19 + 121531 = 121550
  • 43 + 121507 = 121550
  • 97 + 121453 = 121550
  • 103 + 121447 = 121550
  • 109 + 121441 = 121550
  • 181 + 121369 = 121550
  • 193 + 121357 = 121550

Showing the first eight; more decompositions exist.

Hex color
#01DACE
RGB(1, 218, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.206.

Address
0.1.218.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.206

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 121,550 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 121550 first appears in π at position 812,970 of the decimal expansion (the 812,970ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.