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120,391

120,391 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.).

120,391 (one hundred twenty thousand three hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D647.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
193,021
Square (n²)
14,493,992,881
Cube (n³)
1,744,946,296,936,471
Divisor count
2
σ(n) — sum of divisors
120,392
φ(n) — Euler's totient
120,390

Primality

120,391 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120391
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,391)
1 × 120391
First multiples
120,391 · 240,782 (double) · 361,173 · 481,564 · 601,955 · 722,346 · 842,737 · 963,128 · 1,083,519 · 1,203,910

Sums & aliquot sequence

As consecutive integers: 60,195 + 60,196

Continued fraction of √n

√120,391 = [346; (1, 37, 1, 1, 4, 8, 2, 1, 8, 1, 1, 2, 1, 12, 2, 1, 1, 1, 7, 1, 2, 1, 3, 3, …)]

Representations

In words
one hundred twenty thousand three hundred ninety-one
Ordinal
120391st
Binary
11101011001000111
Octal
353107
Hexadecimal
0x1D647
Base64
AdZH
One's complement
4,294,846,904 (32-bit)
Scientific notation
1.20391 × 10⁵
As a duration
120,391 s = 1 day, 9 hours, 26 minutes, 31 seconds
In other bases
ternary (3) 20010010221
quaternary (4) 131121013
quinary (5) 12323031
senary (6) 2325211
septenary (7) 1010665
nonary (9) 203127
undecimal (11) 824a7
duodecimal (12) 59807
tridecimal (13) 42a4b
tetradecimal (14) 31c35
pentadecimal (15) 25a11

As an angle

120,391° = 334 × 360° + 151°
151° ≈ 2.635 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκτϟαʹ
Mayan (base 20)
𝋯·𝋠·𝋳·𝋫
Chinese
一十二萬零三百九十一
Chinese (financial)
壹拾貳萬零參佰玖拾壹
In other modern scripts
Eastern Arabic ١٢٠٣٩١ Devanagari १२०३९१ Bengali ১২০৩৯১ Tamil ௧௨௦௩௯௧ Thai ๑๒๐๓๙๑ Tibetan ༡༢༠༣༩༡ Khmer ១២០៣៩១ Lao ໑໒໐໓໙໑ Burmese ၁၂၀၃၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 120397.

Unicode codepoint
𝙇
Mathematical Sans-Serif Bold Italic Capital L
U+1D647
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 99 87 (4 bytes).

Hex color
#01D647
RGB(1, 214, 71)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.71.

Address
0.1.214.71
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.71

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 120,391 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 120391 first appears in π at position 831,067 of the decimal expansion (the 831,067ordinal-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.