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113,023

113,023 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.).

113,023 (one hundred thirteen thousand twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B97F.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
320,311
Square (n²)
12,774,198,529
Cube (n³)
1,443,778,240,343,167
Divisor count
2
σ(n) — sum of divisors
113,024
φ(n) — Euler's totient
113,022

Primality

113,023 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113023
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,023)
1 × 113023
First multiples
113,023 · 226,046 (double) · 339,069 · 452,092 · 565,115 · 678,138 · 791,161 · 904,184 · 1,017,207 · 1,130,230

Sums & aliquot sequence

As consecutive integers: 56,511 + 56,512

Continued fraction of √n

√113,023 = [336; (5, 3, 2, 2, 2, 3, 1, 2, 1, 3, 1, 1, 1, 2, 2, 5, 3, 15, 1, 2, 3, 1, 1, 2, …)]

Representations

In words
one hundred thirteen thousand twenty-three
Ordinal
113023rd
Binary
11011100101111111
Octal
334577
Hexadecimal
0x1B97F
Base64
Abl/
One's complement
4,294,854,272 (32-bit)
Scientific notation
1.13023 × 10⁵
As a duration
113,023 s = 1 day, 7 hours, 23 minutes, 43 seconds
In other bases
ternary (3) 12202001001
quaternary (4) 123211333
quinary (5) 12104043
senary (6) 2231131
septenary (7) 650341
nonary (9) 182031
undecimal (11) 77a09
duodecimal (12) 554a7
tridecimal (13) 3c5a1
tetradecimal (14) 2d291
pentadecimal (15) 2374d

As an angle

113,023° = 313 × 360° + 343°
343° ≈ 5.986 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγκγʹ
Mayan (base 20)
𝋮·𝋢·𝋫·𝋣
Chinese
一十一萬三千零二十三
Chinese (financial)
壹拾壹萬參仟零貳拾參
In other modern scripts
Eastern Arabic ١١٣٠٢٣ Devanagari ११३०२३ Bengali ১১৩০২৩ Tamil ௧௧௩௦௨௩ Thai ๑๑๓๐๒๓ Tibetan ༡༡༣༠༢༣ Khmer ១១៣០២៣ Lao ໑໑໓໐໒໓ Burmese ၁၁၃၀၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113021, cousin with 113027.

Hex color
#01B97F
RGB(1, 185, 127)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.127.

Address
0.1.185.127
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.127

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 113,023 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 113023 first appears in π at position 145,202 of the decimal expansion (the 145,202ordinal-suffix:nd 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.