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121,189

121,189 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.).

121,189 (one hundred twenty-one thousand one hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D965.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
144
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
981,121
Square (n²)
14,686,773,721
Cube (n³)
1,779,875,420,474,269
Divisor count
2
σ(n) — sum of divisors
121,190
φ(n) — Euler's totient
121,188

Primality

121,189 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121189
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,189)
1 × 121189
First multiples
121,189 · 242,378 (double) · 363,567 · 484,756 · 605,945 · 727,134 · 848,323 · 969,512 · 1,090,701 · 1,211,890

Sums & aliquot sequence

As a sum of two squares: 65² + 342²
As consecutive integers: 60,594 + 60,595

Continued fraction of √n

√121,189 = [348; (8, 5, 3, 1, 2, 17, 2, 25, 3, 3, 11, 1, 10, 1, 2, 5, 1, 1, 1, 1, 4, 2, 9, 1, …)]

Representations

In words
one hundred twenty-one thousand one hundred eighty-nine
Ordinal
121189th
Binary
11101100101100101
Octal
354545
Hexadecimal
0x1D965
Base64
Adll
One's complement
4,294,846,106 (32-bit)
Scientific notation
1.21189 × 10⁵
As a duration
121,189 s = 1 day, 9 hours, 39 minutes, 49 seconds
In other bases
ternary (3) 20011020111
quaternary (4) 131211211
quinary (5) 12334224
senary (6) 2333021
septenary (7) 1013215
nonary (9) 204214
undecimal (11) 83062
duodecimal (12) 5a171
tridecimal (13) 43213
tetradecimal (14) 32245
pentadecimal (15) 25d94

As an angle

121,189° = 336 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαρπθʹ
Mayan (base 20)
𝋯·𝋢·𝋳·𝋩
Chinese
一十二萬一千一百八十九
Chinese (financial)
壹拾貳萬壹仟壹佰捌拾玖
In other modern scripts
Eastern Arabic ١٢١١٨٩ Devanagari १२११८९ Bengali ১২১১৮৯ Tamil ௧௨௧௧௮௯ Thai ๑๒๑๑๘๙ Tibetan ༡༢༡༡༨༩ Khmer ១២១១៨៩ Lao ໑໒໑໑໘໙ Burmese ၁၂၁၁၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𝥥
Signwriting Movement-Floorplane Single Straight Small
U+1D965
Other symbol (So)

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

Hex color
#01D965
RGB(1, 217, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.101.

Address
0.1.217.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.101

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 121,189 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 121189 first appears in π at position 679,652 of the decimal expansion (the 679,652ordinal-suffix:nd 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.