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120,167

120,167 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.).

120,167 (one hundred twenty thousand one hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D567.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Safe Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
761,021
Square (n²)
14,440,107,889
Cube (n³)
1,735,224,444,697,463
Divisor count
2
σ(n) — sum of divisors
120,168
φ(n) — Euler's totient
120,166

Primality

120,167 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120167
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,167)
1 × 120167
First multiples
120,167 · 240,334 (double) · 360,501 · 480,668 · 600,835 · 721,002 · 841,169 · 961,336 · 1,081,503 · 1,201,670

Sums & aliquot sequence

As consecutive integers: 60,083 + 60,084

Continued fraction of √n

√120,167 = [346; (1, 1, 1, 6, 2, 12, 1, 1, 1, 1, 1, 1, 8, 6, 4, 11, 7, 1, 35, 1, 1, 1, 1, 2, …)]

Representations

In words
one hundred twenty thousand one hundred sixty-seven
Ordinal
120167th
Binary
11101010101100111
Octal
352547
Hexadecimal
0x1D567
Base64
AdVn
One's complement
4,294,847,128 (32-bit)
Scientific notation
1.20167 × 10⁵
As a duration
120,167 s = 1 day, 9 hours, 22 minutes, 47 seconds
In other bases
ternary (3) 20002211122
quaternary (4) 131111213
quinary (5) 12321132
senary (6) 2324155
septenary (7) 1010225
nonary (9) 202748
undecimal (11) 82313
duodecimal (12) 5965b
tridecimal (13) 42908
tetradecimal (14) 31b15
pentadecimal (15) 25912

As an angle

120,167° = 333 × 360° + 287°
287° ≈ 5.009 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκρξζʹ
Mayan (base 20)
𝋯·𝋠·𝋨·𝋧
Chinese
一十二萬零一百六十七
Chinese (financial)
壹拾貳萬零壹佰陸拾柒
In other modern scripts
Eastern Arabic ١٢٠١٦٧ Devanagari १२०१६७ Bengali ১২০১৬৭ Tamil ௧௨௦௧௬௭ Thai ๑๒๐๑๖๗ Tibetan ༡༢༠༡༦༧ Khmer ១២០១៦៧ Lao ໑໒໐໑໖໗ Burmese ၁၂၀၁၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 120163.

Unicode codepoint
𝕧
Mathematical Double-Struck Small V
U+1D567
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 95 A7 (4 bytes).

Hex color
#01D567
RGB(1, 213, 103)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.103.

Address
0.1.213.103
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.103

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 120,167 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 120167 first appears in π at position 530,439 of the decimal expansion (the 530,439ordinal-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.