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112,097

112,097 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.).

112,097 (one hundred twelve thousand ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B5E1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
790,211
Recamán's sequence
a(247,106) = 112,097
Square (n²)
12,565,737,409
Cube (n³)
1,408,581,466,336,673
Divisor count
2
σ(n) — sum of divisors
112,098
φ(n) — Euler's totient
112,096

Primality

112,097 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112097
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,097)
1 × 112097
First multiples
112,097 · 224,194 (double) · 336,291 · 448,388 · 560,485 · 672,582 · 784,679 · 896,776 · 1,008,873 · 1,120,970

Sums & aliquot sequence

As a sum of two squares: 124² + 311²
As consecutive integers: 56,048 + 56,049

Continued fraction of √n

√112,097 = [334; (1, 4, 4, 3, 2, 2, 34, 1, 4, 1, 20, 1, 3, 3, 4, 1, 1, 1, 1, 1, 1, 6, 3, 2, …)]

Representations

In words
one hundred twelve thousand ninety-seven
Ordinal
112097th
Binary
11011010111100001
Octal
332741
Hexadecimal
0x1B5E1
Base64
AbXh
One's complement
4,294,855,198 (32-bit)
Scientific notation
1.12097 × 10⁵
As a duration
112,097 s = 1 day, 7 hours, 8 minutes, 17 seconds
In other bases
ternary (3) 12200202202
quaternary (4) 123113201
quinary (5) 12041342
senary (6) 2222545
septenary (7) 644546
nonary (9) 180682
undecimal (11) 77247
duodecimal (12) 54a55
tridecimal (13) 3c03b
tetradecimal (14) 2cbcd
pentadecimal (15) 23332
Palindromic in base 15

As an angle

112,097° = 311 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβϟζʹ
Mayan (base 20)
𝋮·𝋠·𝋤·𝋱
Chinese
一十一萬二千零九十七
Chinese (financial)
壹拾壹萬貳仟零玖拾柒
In other modern scripts
Eastern Arabic ١١٢٠٩٧ Devanagari ११२०९७ Bengali ১১২০৯৭ Tamil ௧௧௨௦௯௭ Thai ๑๑๒๐๙๗ Tibetan ༡༡༢༠༩༧ Khmer ១១២០៩៧ Lao ໑໑໒໐໙໗ Burmese ၁၁၂၀၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 112103.

Hex color
#01B5E1
RGB(1, 181, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.225.

Address
0.1.181.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.181.225

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 112,097 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 112097 first appears in π at position 491,241 of the decimal expansion (the 491,241ordinal-suffix:st 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.