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120,209

120,209 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.).

120,209 (one hundred twenty thousand two hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D591.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
902,021
Square (n²)
14,450,203,681
Cube (n³)
1,737,044,534,289,329
Divisor count
2
σ(n) — sum of divisors
120,210
φ(n) — Euler's totient
120,208

Primality

120,209 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120209
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,209)
1 × 120209
First multiples
120,209 · 240,418 (double) · 360,627 · 480,836 · 601,045 · 721,254 · 841,463 · 961,672 · 1,081,881 · 1,202,090

Sums & aliquot sequence

As a sum of two squares: 215² + 272²
As consecutive integers: 60,104 + 60,105

Continued fraction of √n

√120,209 = [346; (1, 2, 2, 7, 2, 4, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 10, 1, 1, 3, 1, 4, 3, 1, …)]

Representations

In words
one hundred twenty thousand two hundred nine
Ordinal
120209th
Binary
11101010110010001
Octal
352621
Hexadecimal
0x1D591
Base64
AdWR
One's complement
4,294,847,086 (32-bit)
Scientific notation
1.20209 × 10⁵
As a duration
120,209 s = 1 day, 9 hours, 23 minutes, 29 seconds
In other bases
ternary (3) 20002220012
quaternary (4) 131112101
quinary (5) 12321314
senary (6) 2324305
septenary (7) 1010315
nonary (9) 202805
undecimal (11) 82351
duodecimal (12) 59695
tridecimal (13) 4293b
tetradecimal (14) 31b45
pentadecimal (15) 2593e
Palindromic in base 12

As an angle

120,209° = 333 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκσθʹ
Mayan (base 20)
𝋯·𝋠·𝋪·𝋩
Chinese
一十二萬零二百零九
Chinese (financial)
壹拾貳萬零貳佰零玖
In other modern scripts
Eastern Arabic ١٢٠٢٠٩ Devanagari १२०२०९ Bengali ১২০২০৯ Tamil ௧௨௦௨௦௯ Thai ๑๒๐๒๐๙ Tibetan ༡༢༠༢༠༩ Khmer ១២០២០៩ Lao ໑໒໐໒໐໙ Burmese ၁၂၀၂၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𝖑
Mathematical Bold Fraktur Small L
U+1D591
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 96 91 (4 bytes).

Hex color
#01D591
RGB(1, 213, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.145.

Address
0.1.213.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.145

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 120,209 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 120209 first appears in π at position 551,839 of the decimal expansion (the 551,839ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.