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113,123

113,123 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.).

113,123 (one hundred thirteen thousand one hundred twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B9E3.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
321,311
Recamán's sequence
a(246,330) = 113,123
Square (n²)
12,796,813,129
Cube (n³)
1,447,613,891,591,867
Divisor count
2
σ(n) — sum of divisors
113,124
φ(n) — Euler's totient
113,122

Primality

113,123 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113123
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,123)
1 × 113123
First multiples
113,123 · 226,246 (double) · 339,369 · 452,492 · 565,615 · 678,738 · 791,861 · 904,984 · 1,018,107 · 1,131,230

Sums & aliquot sequence

As consecutive integers: 56,561 + 56,562

Continued fraction of √n

√113,123 = [336; (2, 1, 25, 4, 1, 6, 1, 3, 9, 4, 1, 1, 1, 2, 3, 2, 2, 51, 2, 1, 335, 1, 2, 51, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand one hundred twenty-three
Ordinal
113123rd
Binary
11011100111100011
Octal
334743
Hexadecimal
0x1B9E3
Base64
Abnj
One's complement
4,294,854,172 (32-bit)
Scientific notation
1.13123 × 10⁵
As a duration
113,123 s = 1 day, 7 hours, 25 minutes, 23 seconds
In other bases
ternary (3) 12202011202
quaternary (4) 123213203
quinary (5) 12104443
senary (6) 2231415
septenary (7) 650543
nonary (9) 182152
undecimal (11) 77a9a
duodecimal (12) 5556b
tridecimal (13) 3c64a
tetradecimal (14) 2d323
pentadecimal (15) 237b8

As an angle

113,123° = 314 × 360° + 83°
83° ≈ 1.449 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριγρκγʹ
Mayan (base 20)
𝋮·𝋢·𝋰·𝋣
Chinese
一十一萬三千一百二十三
Chinese (financial)
壹拾壹萬參仟壹佰貳拾參
In other modern scripts
Eastern Arabic ١١٣١٢٣ Devanagari ११३१२३ Bengali ১১৩১২৩ Tamil ௧௧௩௧௨௩ Thai ๑๑๓๑๒๓ Tibetan ༡༡༣༡༢༣ Khmer ១១៣១២៣ Lao ໑໑໓໑໒໓ Burmese ၁၁၃၁၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 113117.

Hex color
#01B9E3
RGB(1, 185, 227)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.227.

Address
0.1.185.227
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.227

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 113,123 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.