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112,111

112,111 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.).

112,111 (one hundred twelve thousand one hundred eleven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B5EF.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
2
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
111,211
Recamán's sequence
a(247,078) = 112,111
Square (n²)
12,568,876,321
Cube (n³)
1,409,109,293,223,631
Divisor count
2
σ(n) — sum of divisors
112,112
φ(n) — Euler's totient
112,110

Primality

112,111 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112111
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,111)
1 × 112111
First multiples
112,111 · 224,222 (double) · 336,333 · 448,444 · 560,555 · 672,666 · 784,777 · 896,888 · 1,008,999 · 1,121,110

Sums & aliquot sequence

As consecutive integers: 56,055 + 56,056

Continued fraction of √n

√112,111 = [334; (1, 4, 1, 7, 22, 5, 6, 1, 5, 1, 2, 2, 1, 1, 1, 2, 16, 1, 3, 1, 3, 2, 2, 2, …)]

Representations

In words
one hundred twelve thousand one hundred eleven
Ordinal
112111th
Binary
11011010111101111
Octal
332757
Hexadecimal
0x1B5EF
Base64
AbXv
One's complement
4,294,855,184 (32-bit)
Scientific notation
1.12111 × 10⁵
As a duration
112,111 s = 1 day, 7 hours, 8 minutes, 31 seconds
In other bases
ternary (3) 12200210021
quaternary (4) 123113233
quinary (5) 12041421
senary (6) 2223011
septenary (7) 644566
nonary (9) 180707
undecimal (11) 7725a
duodecimal (12) 54a67
tridecimal (13) 3c04c
tetradecimal (14) 2cbdd
pentadecimal (15) 23341

As an angle

112,111° = 311 × 360° + 151°
151° ≈ 2.635 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓎆𓏺
Greek (Milesian)
͵ριβριαʹ
Mayan (base 20)
𝋮·𝋠·𝋥·𝋫
Chinese
一十一萬二千一百一十一
Chinese (financial)
壹拾壹萬貳仟壹佰壹拾壹
In other modern scripts
Eastern Arabic ١١٢١١١ Devanagari ११२१११ Bengali ১১২১১১ Tamil ௧௧௨௧௧௧ Thai ๑๑๒๑๑๑ Tibetan ༡༡༢༡༡༡ Khmer ១១២១១១ Lao ໑໑໒໑໑໑ Burmese ၁၁၂၁၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B5EF
RGB(1, 181, 239)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.239.

Address
0.1.181.239
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.181.239

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 112,111 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 112111 first appears in π at position 796,667 of the decimal expansion (the 796,667ordinal-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.