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121,789

121,789 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.).

121,789 (one hundred twenty-one thousand seven 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, 0x1DBBD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
1,008
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
987,121
Square (n²)
14,832,560,521
Cube (n³)
1,806,442,713,292,069
Divisor count
2
σ(n) — sum of divisors
121,790
φ(n) — Euler's totient
121,788

Primality

121,789 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121789
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,789)
1 × 121789
First multiples
121,789 · 243,578 (double) · 365,367 · 487,156 · 608,945 · 730,734 · 852,523 · 974,312 · 1,096,101 · 1,217,890

Sums & aliquot sequence

As a sum of two squares: 235² + 258²
As consecutive integers: 60,894 + 60,895

Continued fraction of √n

√121,789 = [348; (1, 57, 6, 19, 4, 1, 1, 25, 3, 2, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 4, 1, 12, 1, …)]

Representations

In words
one hundred twenty-one thousand seven hundred eighty-nine
Ordinal
121789th
Binary
11101101110111101
Octal
355675
Hexadecimal
0x1DBBD
Base64
Adu9
One's complement
4,294,845,506 (32-bit)
Scientific notation
1.21789 × 10⁵
As a duration
121,789 s = 1 day, 9 hours, 49 minutes, 49 seconds
In other bases
ternary (3) 20012001201
quaternary (4) 131232331
quinary (5) 12344124
senary (6) 2335501
septenary (7) 1015033
nonary (9) 205051
undecimal (11) 83558
duodecimal (12) 5a591
tridecimal (13) 43585
tetradecimal (14) 32553
pentadecimal (15) 26144

As an angle

121,789° = 338 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαψπθʹ
Mayan (base 20)
𝋯·𝋤·𝋩·𝋩
Chinese
一十二萬一千七百八十九
Chinese (financial)
壹拾貳萬壹仟柒佰捌拾玖
In other modern scripts
Eastern Arabic ١٢١٧٨٩ Devanagari १२१७८९ Bengali ১২১৭৮৯ Tamil ௧௨௧௭௮௯ Thai ๑๒๑๗๘๙ Tibetan ༡༢༡༧༨༩ Khmer ១២១៧៨៩ Lao ໑໒໑໗໘໙ Burmese ၁၂၁၇၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 121787.

Hex color
#01DBBD
RGB(1, 219, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.189.

Address
0.1.219.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.219.189

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 121,789 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 121789 first appears in π at position 341,389 of the decimal expansion (the 341,389ordinal-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

  • 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.