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121,140

121,140 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.).

121,140 (one hundred twenty-one thousand one hundred forty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 673. Its proper divisors sum to 246,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D934.

Abundant Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
41,121
Square (n²)
14,674,899,600
Cube (n³)
1,777,717,337,544,000
Divisor count
36
σ(n) — sum of divisors
368,004
φ(n) — Euler's totient
32,256
Sum of prime factors
688

Primality

Prime factorization: 2 2 × 3 2 × 5 × 673

Nearest primes: 121,139 (−1) · 121,151 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 673 · 1346 · 2019 · 2692 · 3365 · 4038 · 6057 · 6730 · 8076 · 10095 · 12114 · 13460 · 20190 · 24228 · 30285 · 40380 · 60570 (half) · 121140
Aliquot sum (sum of proper divisors): 246,864
Factor pairs (a × b = 121,140)
1 × 121140
2 × 60570
3 × 40380
4 × 30285
5 × 24228
6 × 20190
9 × 13460
10 × 12114
12 × 10095
15 × 8076
18 × 6730
20 × 6057
30 × 4038
36 × 3365
45 × 2692
60 × 2019
90 × 1346
180 × 673
First multiples
121,140 · 242,280 (double) · 363,420 · 484,560 · 605,700 · 726,840 · 847,980 · 969,120 · 1,090,260 · 1,211,400

Sums & aliquot sequence

As a sum of two squares: 6² + 348² = 204² + 282²
As consecutive integers: 40,379 + 40,380 + 40,381 24,226 + 24,227 + 24,228 + 24,229 + 24,230 15,139 + 15,140 + … + 15,146 13,456 + 13,457 + … + 13,464
Aliquot sequence: 121,140 246,864 412,816 387,046 257,642 234,838 138,194 98,734 49,370 39,514 22,406 13,234 8,186 4,096 4,095 4,641 3,423 — unresolved within range

Continued fraction of √n

√121,140 = [348; (19, 2, 1, 76, 1, 2, 19, 696)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand one hundred forty
Ordinal
121140th
Binary
11101100100110100
Octal
354464
Hexadecimal
0x1D934
Base64
Adk0
One's complement
4,294,846,155 (32-bit)
Scientific notation
1.2114 × 10⁵
As a duration
121,140 s = 1 day, 9 hours, 39 minutes
In other bases
ternary (3) 20011011200
quaternary (4) 131210310
quinary (5) 12334030
senary (6) 2332500
septenary (7) 1013115
nonary (9) 204150
undecimal (11) 83018
duodecimal (12) 5a130
tridecimal (13) 431a6
tetradecimal (14) 3220c
pentadecimal (15) 25d60

As an angle

121,140° = 336 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκαρμʹ
Mayan (base 20)
𝋯·𝋢·𝋱·𝋠
Chinese
一十二萬一千一百四十
Chinese (financial)
壹拾貳萬壹仟壹佰肆拾
In other modern scripts
Eastern Arabic ١٢١١٤٠ Devanagari १२११४० Bengali ১২১১৪০ Tamil ௧௨௧௧௪௦ Thai ๑๒๑๑๔๐ Tibetan ༡༢༡༡༤༠ Khmer ១២១១៤០ Lao ໑໒໑໑໔໐ Burmese ၁၂၁၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121140, here are decompositions:

  • 17 + 121123 = 121140
  • 59 + 121081 = 121140
  • 73 + 121067 = 121140
  • 79 + 121061 = 121140
  • 101 + 121039 = 121140
  • 127 + 121013 = 121140
  • 139 + 121001 = 121140
  • 163 + 120977 = 121140

Showing the first eight; more decompositions exist.

Unicode codepoint
𝤴
Signwriting Movement-Wallplane Triple Straight Movement
U+1D934
Other symbol (So)

UTF-8 encoding: F0 9D A4 B4 (4 bytes).

Hex color
#01D934
RGB(1, 217, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.52.

Address
0.1.217.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.52

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 121,140 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 121140 first appears in π at position 932,394 of the decimal expansion (the 932,394ordinal-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

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