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121,180

121,180 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.).

121,180 (one hundred twenty-one thousand one hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 73 × 83. Its proper divisors sum to 139,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D95C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
81,121
Square (n²)
14,684,592,400
Cube (n³)
1,779,478,907,032,000
Divisor count
24
σ(n) — sum of divisors
261,072
φ(n) — Euler's totient
47,232
Sum of prime factors
165

Primality

Prime factorization: 2 2 × 5 × 73 × 83

Nearest primes: 121,171 (−9) · 121,181 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 73 · 83 · 146 · 166 · 292 · 332 · 365 · 415 · 730 · 830 · 1460 · 1660 · 6059 · 12118 · 24236 · 30295 · 60590 (half) · 121180
Aliquot sum (sum of proper divisors): 139,892
Factor pairs (a × b = 121,180)
1 × 121180
2 × 60590
4 × 30295
5 × 24236
10 × 12118
20 × 6059
73 × 1660
83 × 1460
146 × 830
166 × 730
292 × 415
332 × 365
First multiples
121,180 · 242,360 (double) · 363,540 · 484,720 · 605,900 · 727,080 · 848,260 · 969,440 · 1,090,620 · 1,211,800

Sums & aliquot sequence

As consecutive integers: 24,234 + 24,235 + 24,236 + 24,237 + 24,238 15,144 + 15,145 + … + 15,151 3,010 + 3,011 + … + 3,049 1,624 + 1,625 + … + 1,696
Aliquot sequence: 121,180 139,892 111,184 104,266 56,474 42,022 21,014 17,386 8,696 7,624 6,686 3,346 2,414 1,474 974 490 536 — unresolved within range

Continued fraction of √n

√121,180 = [348; (9, 6, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 16, 2, 1, 2, 2, 28, 1, 1, 2, 2, 1, …)]

Representations

In words
one hundred twenty-one thousand one hundred eighty
Ordinal
121180th
Binary
11101100101011100
Octal
354534
Hexadecimal
0x1D95C
Base64
Adlc
One's complement
4,294,846,115 (32-bit)
Scientific notation
1.2118 × 10⁵
As a duration
121,180 s = 1 day, 9 hours, 39 minutes, 40 seconds
In other bases
ternary (3) 20011020011
quaternary (4) 131211130
quinary (5) 12334210
senary (6) 2333004
septenary (7) 1013203
nonary (9) 204204
undecimal (11) 83054
duodecimal (12) 5a164
tridecimal (13) 43207
tetradecimal (14) 3223a
pentadecimal (15) 25d8a

As an angle

121,180° = 336 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκαρπʹ
Mayan (base 20)
𝋯·𝋢·𝋳·𝋠
Chinese
一十二萬一千一百八十
Chinese (financial)
壹拾貳萬壹仟壹佰捌拾
In other modern scripts
Eastern Arabic ١٢١١٨٠ Devanagari १२११८० Bengali ১২১১৮০ Tamil ௧௨௧௧௮௦ Thai ๑๒๑๑๘๐ Tibetan ༡༢༡༡༨༠ Khmer ១២១១៨០ Lao ໑໒໑໑໘໐ Burmese ၁၂၁၁၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121180, here are decompositions:

  • 11 + 121169 = 121180
  • 23 + 121157 = 121180
  • 29 + 121151 = 121180
  • 41 + 121139 = 121180
  • 113 + 121067 = 121180
  • 167 + 121013 = 121180
  • 173 + 121007 = 121180
  • 179 + 121001 = 121180

Showing the first eight; more decompositions exist.

Unicode codepoint
𝥜
Signwriting Movement-Diagonal Towards Largest
U+1D95C
Other symbol (So)

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

Hex color
#01D95C
RGB(1, 217, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.92.

Address
0.1.217.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.92

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 121,180 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 121180 first appears in π at position 945,669 of the decimal expansion (the 945,669ordinal-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