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113,041

113,041 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.).

113,041 (one hundred thirteen thousand forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B991.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean 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
140,311
Square (n²)
12,778,267,681
Cube (n³)
1,444,468,156,927,921
Divisor count
2
σ(n) — sum of divisors
113,042
φ(n) — Euler's totient
113,040

Primality

113,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,041)
1 × 113041
First multiples
113,041 · 226,082 (double) · 339,123 · 452,164 · 565,205 · 678,246 · 791,287 · 904,328 · 1,017,369 · 1,130,410

Sums & aliquot sequence

As a sum of two squares: 100² + 321²
As consecutive integers: 56,520 + 56,521

Continued fraction of √n

√113,041 = [336; (4, 1, 1, 1, 2, 1, 20, 3, 2, 8, 1, 1, 6, 2, 2, 8, 1, 14, 20, 3, 4, 2, 1, 12, …)]

Representations

In words
one hundred thirteen thousand forty-one
Ordinal
113041st
Binary
11011100110010001
Octal
334621
Hexadecimal
0x1B991
Base64
AbmR
One's complement
4,294,854,254 (32-bit)
Scientific notation
1.13041 × 10⁵
As a duration
113,041 s = 1 day, 7 hours, 24 minutes, 1 second
In other bases
ternary (3) 12202001201
quaternary (4) 123212101
quinary (5) 12104131
senary (6) 2231201
septenary (7) 650365
nonary (9) 182051
undecimal (11) 77a25
duodecimal (12) 55501
tridecimal (13) 3c5b6
tetradecimal (14) 2d2a5
pentadecimal (15) 23761

As an angle

113,041° = 314 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγμαʹ
Mayan (base 20)
𝋮·𝋢·𝋬·𝋡
Chinese
一十一萬三千零四十一
Chinese (financial)
壹拾壹萬參仟零肆拾壹
In other modern scripts
Eastern Arabic ١١٣٠٤١ Devanagari ११३०४१ Bengali ১১৩০৪১ Tamil ௧௧௩௦௪௧ Thai ๑๑๓๐๔๑ Tibetan ༡༡༣༠༤༡ Khmer ១១៣០៤១ Lao ໑໑໓໐໔໑ Burmese ၁၁၃၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113039.

Hex color
#01B991
RGB(1, 185, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.145.

Address
0.1.185.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.145

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 113,041 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 113041 first appears in π at position 841,948 of the decimal expansion (the 841,948ordinal-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.