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111,431

111,431 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.).

111,431 (one hundred eleven thousand four hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B347.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
12
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
134,111
Recamán's sequence
a(77,073) = 111,431
Square (n²)
12,416,867,761
Cube (n³)
1,383,623,991,475,991
Divisor count
2
σ(n) — sum of divisors
111,432
φ(n) — Euler's totient
111,430

Primality

111,431 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 111431
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 111,431)
1 × 111431
First multiples
111,431 · 222,862 (double) · 334,293 · 445,724 · 557,155 · 668,586 · 780,017 · 891,448 · 1,002,879 · 1,114,310

Sums & aliquot sequence

As consecutive integers: 55,715 + 55,716

Continued fraction of √n

√111,431 = [333; (1, 4, 2, 1, 11, 2, 4, 1, 1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 3, 5, 1, 1, 1, 2, …)]

Representations

In words
one hundred eleven thousand four hundred thirty-one
Ordinal
111431st
Binary
11011001101000111
Octal
331507
Hexadecimal
0x1B347
Base64
AbNH
One's complement
4,294,855,864 (32-bit)
Scientific notation
1.11431 × 10⁵
As a duration
111,431 s = 1 day, 6 hours, 57 minutes, 11 seconds
In other bases
ternary (3) 12122212002
quaternary (4) 123031013
quinary (5) 12031211
senary (6) 2215515
septenary (7) 642605
nonary (9) 178762
undecimal (11) 767a1
duodecimal (12) 5459b
tridecimal (13) 3b948
tetradecimal (14) 2c875
pentadecimal (15) 2303b

As an angle

111,431° = 309 × 360° + 191°
191° ≈ 3.334 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριαυλαʹ
Mayan (base 20)
𝋭·𝋲·𝋫·𝋫
Chinese
一十一萬一千四百三十一
Chinese (financial)
壹拾壹萬壹仟肆佰參拾壹
In other modern scripts
Eastern Arabic ١١١٤٣١ Devanagari १११४३१ Bengali ১১১৪৩১ Tamil ௧௧௧௪௩௧ Thai ๑๑๑๔๓๑ Tibetan ༡༡༡༤༣༡ Khmer ១១១៤៣១ Lao ໑໑໑໔໓໑ Burmese ၁၁၁၄၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 111427.

Hex color
#01B347
RGB(1, 179, 71)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.179.71.

Address
0.1.179.71
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.179.71

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 111,431 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 111431 first appears in π at position 127,274 of the decimal expansion (the 127,274ordinal-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.