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121,329

121,329 is a composite number, odd.

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.).

121,329 (one hundred twenty-one thousand three hundred twenty-nine) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3² × 13 × 17 × 61. Written other ways, in hexadecimal, 0x1D9F1.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
108
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
923,121
Square (n²)
14,720,726,241
Cube (n³)
1,786,050,994,094,289
Divisor count
24
σ(n) — sum of divisors
203,112
φ(n) — Euler's totient
69,120
Sum of prime factors
97

Primality

Prime factorization: 3 2 × 13 × 17 × 61

Nearest primes: 121,327 (−2) · 121,333 (+4)

Divisors & multiples

All divisors (24)
1 · 3 · 9 · 13 · 17 · 39 · 51 · 61 · 117 · 153 · 183 · 221 · 549 · 663 · 793 · 1037 · 1989 · 2379 · 3111 · 7137 · 9333 · 13481 · 40443 · 121329
Aliquot sum (sum of proper divisors): 81,783
Factor pairs (a × b = 121,329)
1 × 121329
3 × 40443
9 × 13481
13 × 9333
17 × 7137
39 × 3111
51 × 2379
61 × 1989
117 × 1037
153 × 793
183 × 663
221 × 549
First multiples
121,329 · 242,658 (double) · 363,987 · 485,316 · 606,645 · 727,974 · 849,303 · 970,632 · 1,091,961 · 1,213,290

Sums & aliquot sequence

As a sum of two squares: 15² + 348² = 48² + 345² = 120² + 327² = 177² + 300²
As consecutive integers: 60,664 + 60,665 40,442 + 40,443 + 40,444 20,219 + 20,220 + 20,221 + 20,222 + 20,223 + 20,224 13,477 + 13,478 + … + 13,485
Aliquot sequence: 121,329 81,783 49,257 27,547 2,465 775 217 39 17 1 0 — terminates at zero

Continued fraction of √n

√121,329 = [348; (3, 10, 1, 1, 4, 3, 5, 1, 1, 1, 4, 5, 3, 1, 2, 2, 1, 76, 1, 2, 2, 1, 3, 5, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand three hundred twenty-nine
Ordinal
121329th
Binary
11101100111110001
Octal
354761
Hexadecimal
0x1D9F1
Base64
Adnx
One's complement
4,294,845,966 (32-bit)
Scientific notation
1.21329 × 10⁵
As a duration
121,329 s = 1 day, 9 hours, 42 minutes, 9 seconds
In other bases
ternary (3) 20011102200
quaternary (4) 131213301
quinary (5) 12340304
senary (6) 2333413
septenary (7) 1013505
nonary (9) 204380
undecimal (11) 8317a
duodecimal (12) 5a269
tridecimal (13) 432c0
tetradecimal (14) 32305
pentadecimal (15) 25e39

As an angle

121,329° = 337 × 360° + 9°
9° ≈ 0.157 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκατκθʹ
Mayan (base 20)
𝋯·𝋣·𝋦·𝋩
Chinese
一十二萬一千三百二十九
Chinese (financial)
壹拾貳萬壹仟參佰貳拾玖
In other modern scripts
Eastern Arabic ١٢١٣٢٩ Devanagari १२१३२९ Bengali ১২১৩২৯ Tamil ௧௨௧௩௨௯ Thai ๑๒๑๓๒๙ Tibetan ༡༢༡༣༢༩ Khmer ១២១៣២៩ Lao ໑໒໑໓໒໙ Burmese ၁၂၁၃၂၉

Also seen as

Unicode codepoint
𝧱
Signwriting Movement-Wallplane Finger Circles Single
U+1D9F1
Other symbol (So)

UTF-8 encoding: F0 9D A7 B1 (4 bytes).

Hex color
#01D9F1
RGB(1, 217, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.241.

Address
0.1.217.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.241

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 121,329 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 121329 first appears in π at position 635,403 of the decimal expansion (the 635,403ordinal-suffix:rd 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°.