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121,321

121,321 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.).

121,321 (one hundred twenty-one thousand three hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D9E9.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
12
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
123,121
Square (n²)
14,718,785,041
Cube (n³)
1,785,697,719,959,161
Divisor count
2
σ(n) — sum of divisors
121,322
φ(n) — Euler's totient
121,320

Primality

121,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,321)
1 × 121321
First multiples
121,321 · 242,642 (double) · 363,963 · 485,284 · 606,605 · 727,926 · 849,247 · 970,568 · 1,091,889 · 1,213,210

Sums & aliquot sequence

As a sum of two squares: 80² + 339²
As consecutive integers: 60,660 + 60,661

Continued fraction of √n

√121,321 = [348; (3, 4, 1, 3, 1, 2, 1, 5, 1, 8, 1, 4, 1, 2, 13, 1, 6, 3, 15, 6, 6, 2, 7, 1, …)]

Representations

In words
one hundred twenty-one thousand three hundred twenty-one
Ordinal
121321st
Binary
11101100111101001
Octal
354751
Hexadecimal
0x1D9E9
Base64
Adnp
One's complement
4,294,845,974 (32-bit)
Scientific notation
1.21321 × 10⁵
As a duration
121,321 s = 1 day, 9 hours, 42 minutes, 1 second
In other bases
ternary (3) 20011102101
quaternary (4) 131213221
quinary (5) 12340241
senary (6) 2333401
septenary (7) 1013464
nonary (9) 204371
undecimal (11) 83172
duodecimal (12) 5a261
tridecimal (13) 432b5
tetradecimal (14) 322db
pentadecimal (15) 25e31

As an angle

121,321° = 337 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρκατκαʹ
Mayan (base 20)
𝋯·𝋣·𝋦·𝋡
Chinese
一十二萬一千三百二十一
Chinese (financial)
壹拾貳萬壹仟參佰貳拾壹
In other modern scripts
Eastern Arabic ١٢١٣٢١ Devanagari १२१३२१ Bengali ১২১৩২১ Tamil ௧௨௧௩௨௧ Thai ๑๒๑๓๒๑ Tibetan ༡༢༡༣༢༡ Khmer ១២១៣២១ Lao ໑໒໑໓໒໑ Burmese ၁၂၁၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 121327.

Unicode codepoint
𝧩
Signwriting Movement-Floorplane Arm Circle Hitting Wall Large Single
U+1D9E9
Other symbol (So)

UTF-8 encoding: F0 9D A7 A9 (4 bytes).

Hex color
#01D9E9
RGB(1, 217, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.233.

Address
0.1.217.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.233

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 121,321 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 121321 first appears in π at position 951,741 of the decimal expansion (the 951,741ordinal-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.