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120,163

120,163 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.).

120,163 (one hundred twenty thousand one hundred sixty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D563.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
361,021
Square (n²)
14,439,146,569
Cube (n³)
1,735,051,169,170,747
Divisor count
2
σ(n) — sum of divisors
120,164
φ(n) — Euler's totient
120,162

Primality

120,163 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120163
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,163)
1 × 120163
First multiples
120,163 · 240,326 (double) · 360,489 · 480,652 · 600,815 · 720,978 · 841,141 · 961,304 · 1,081,467 · 1,201,630

Sums & aliquot sequence

As consecutive integers: 60,081 + 60,082

Continued fraction of √n

√120,163 = [346; (1, 1, 1, 4, 1, 1, 4, 1, 10, 5, 2, 2, 3, 1, 1, 1, 4, 1, 345, 1, 4, 1, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand one hundred sixty-three
Ordinal
120163rd
Binary
11101010101100011
Octal
352543
Hexadecimal
0x1D563
Base64
AdVj
One's complement
4,294,847,132 (32-bit)
Scientific notation
1.20163 × 10⁵
As a duration
120,163 s = 1 day, 9 hours, 22 minutes, 43 seconds
In other bases
ternary (3) 20002211111
quaternary (4) 131111203
quinary (5) 12321123
senary (6) 2324151
septenary (7) 1010221
nonary (9) 202744
undecimal (11) 8230a
duodecimal (12) 59657
tridecimal (13) 42904
tetradecimal (14) 31b11
pentadecimal (15) 2590d

As an angle

120,163° = 333 × 360° + 283°
283° ≈ 4.939 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκρξγʹ
Mayan (base 20)
𝋯·𝋠·𝋨·𝋣
Chinese
一十二萬零一百六十三
Chinese (financial)
壹拾貳萬零壹佰陸拾參
In other modern scripts
Eastern Arabic ١٢٠١٦٣ Devanagari १२०१६३ Bengali ১২০১৬৩ Tamil ௧௨௦௧௬௩ Thai ๑๒๐๑๖๓ Tibetan ༡༢༠༡༦༣ Khmer ១២០១៦៣ Lao ໑໒໐໑໖໓ Burmese ၁၂၀၁၆၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 120167, sexy with 120157.

Unicode codepoint
𝕣
Mathematical Double-Struck Small R
U+1D563
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 95 A3 (4 bytes).

Hex color
#01D563
RGB(1, 213, 99)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.99.

Address
0.1.213.99
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.99

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 120,163 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 120163 first appears in π at position 766,938 of the decimal expansion (the 766,938ordinal-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.