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121,309

121,309 is a prime, 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.).

121,309 (one hundred twenty-one thousand three hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D9DD.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
903,121
Square (n²)
14,715,873,481
Cube (n³)
1,785,167,896,106,629
Divisor count
2
σ(n) — sum of divisors
121,310
φ(n) — Euler's totient
121,308

Primality

121,309 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121309
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,309)
1 × 121309
First multiples
121,309 · 242,618 (double) · 363,927 · 485,236 · 606,545 · 727,854 · 849,163 · 970,472 · 1,091,781 · 1,213,090

Sums & aliquot sequence

As a sum of two squares: 30² + 347²
As consecutive integers: 60,654 + 60,655

Continued fraction of √n

√121,309 = [348; (3, 2, 1, 1, 11, 46, 2, 1, 4, 1, 173, 3, 11, 11, 1, 1, 11, 11, 3, 173, 1, 4, 1, 2, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand three hundred nine
Ordinal
121309th
Binary
11101100111011101
Octal
354735
Hexadecimal
0x1D9DD
Base64
Adnd
One's complement
4,294,845,986 (32-bit)
Scientific notation
1.21309 × 10⁵
As a duration
121,309 s = 1 day, 9 hours, 41 minutes, 49 seconds
In other bases
ternary (3) 20011101221
quaternary (4) 131213131
quinary (5) 12340214
senary (6) 2333341
septenary (7) 1013446
nonary (9) 204357
undecimal (11) 83161
duodecimal (12) 5a251
tridecimal (13) 432a6
tetradecimal (14) 322cd
pentadecimal (15) 25e24

As an angle

121,309° = 336 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκατθʹ
Mayan (base 20)
𝋯·𝋣·𝋥·𝋩
Chinese
一十二萬一千三百零九
Chinese (financial)
壹拾貳萬壹仟參佰零玖
In other modern scripts
Eastern Arabic ١٢١٣٠٩ Devanagari १२१३०९ Bengali ১২১৩০৯ Tamil ௧௨௧௩௦௯ Thai ๑๒๑๓๐๙ Tibetan ༡༢༡༣༠༩ Khmer ១២១៣០៩ Lao ໑໒໑໓໐໙ Burmese ၁၂၁၃၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 121313.

Unicode codepoint
𝧝
Signwriting Movement-Floorplane Wave Small
U+1D9DD
Other symbol (So)

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

Hex color
#01D9DD
RGB(1, 217, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.221.

Address
0.1.217.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.221

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 121,309 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 121309 first appears in π at position 616,281 of the decimal expansion (the 616,281ordinal-suffix:st 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.