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121,164

121,164 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.).

121,164 (one hundred twenty-one thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 23 × 439. Its proper divisors sum to 174,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D94C.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
48
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
461,121
Square (n²)
14,680,714,896
Cube (n³)
1,778,774,139,658,944
Divisor count
24
σ(n) — sum of divisors
295,680
φ(n) — Euler's totient
38,544
Sum of prime factors
469

Primality

Prime factorization: 2 2 × 3 × 23 × 439

Nearest primes: 121,157 (−7) · 121,169 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 23 · 46 · 69 · 92 · 138 · 276 · 439 · 878 · 1317 · 1756 · 2634 · 5268 · 10097 · 20194 · 30291 · 40388 · 60582 (half) · 121164
Aliquot sum (sum of proper divisors): 174,516
Factor pairs (a × b = 121,164)
1 × 121164
2 × 60582
3 × 40388
4 × 30291
6 × 20194
12 × 10097
23 × 5268
46 × 2634
69 × 1756
92 × 1317
138 × 878
276 × 439
First multiples
121,164 · 242,328 (double) · 363,492 · 484,656 · 605,820 · 726,984 · 848,148 · 969,312 · 1,090,476 · 1,211,640

Sums & aliquot sequence

As consecutive integers: 40,387 + 40,388 + 40,389 15,142 + 15,143 + … + 15,149 5,257 + 5,258 + … + 5,279 5,037 + 5,038 + … + 5,060
Aliquot sequence: 121,164 174,516 232,716 388,212 664,140 1,195,620 2,152,284 2,869,740 5,975,460 12,402,900 26,476,122 27,332,934 27,332,946 31,888,476 48,718,596 64,958,156 55,405,612 — unresolved within range

Continued fraction of √n

√121,164 = [348; (11, 1, 1, 1, 1, 27, 4, 9, 3, 2, 6, 13, 4, 3, 3, 3, 1, 4, 2, 7, 30, 7, 2, 4, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand one hundred sixty-four
Ordinal
121164th
Binary
11101100101001100
Octal
354514
Hexadecimal
0x1D94C
Base64
AdlM
One's complement
4,294,846,131 (32-bit)
Scientific notation
1.21164 × 10⁵
As a duration
121,164 s = 1 day, 9 hours, 39 minutes, 24 seconds
In other bases
ternary (3) 20011012120
quaternary (4) 131211030
quinary (5) 12334124
senary (6) 2332540
septenary (7) 1013151
nonary (9) 204176
undecimal (11) 8303a
duodecimal (12) 5a150
tridecimal (13) 431c4
tetradecimal (14) 32228
pentadecimal (15) 25d79

As an angle

121,164° = 336 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαρξδʹ
Mayan (base 20)
𝋯·𝋢·𝋲·𝋤
Chinese
一十二萬一千一百六十四
Chinese (financial)
壹拾貳萬壹仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٢١١٦٤ Devanagari १२११६४ Bengali ১২১১৬৪ Tamil ௧௨௧௧௬௪ Thai ๑๒๑๑๖๔ Tibetan ༡༢༡༡༦༤ Khmer ១២១១៦៤ Lao ໑໒໑໑໖໔ Burmese ၁၂၁၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121164, here are decompositions:

  • 7 + 121157 = 121164
  • 13 + 121151 = 121164
  • 41 + 121123 = 121164
  • 83 + 121081 = 121164
  • 97 + 121067 = 121164
  • 101 + 121063 = 121164
  • 103 + 121061 = 121164
  • 151 + 121013 = 121164

Showing the first eight; more decompositions exist.

Unicode codepoint
𝥌
Signwriting Travel-Wallplane Rotation-Wallplane Double
U+1D94C
Other symbol (So)

UTF-8 encoding: F0 9D A5 8C (4 bytes).

Hex color
#01D94C
RGB(1, 217, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.76.

Address
0.1.217.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.76

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 121,164 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°.