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113,161

113,161 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.).

113,161 (one hundred thirteen thousand one hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BA09.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
18
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
161,311
Recamán's sequence
a(246,254) = 113,161
Square (n²)
12,805,411,921
Cube (n³)
1,449,073,218,392,281
Divisor count
2
σ(n) — sum of divisors
113,162
φ(n) — Euler's totient
113,160

Primality

113,161 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113161
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,161)
1 × 113161
First multiples
113,161 · 226,322 (double) · 339,483 · 452,644 · 565,805 · 678,966 · 792,127 · 905,288 · 1,018,449 · 1,131,610

Sums & aliquot sequence

As a sum of two squares: 60² + 331²
As consecutive integers: 56,580 + 56,581

Continued fraction of √n

√113,161 = [336; (2, 1, 1, 6, 5, 9, 1, 1, 3, 1, 13, 4, 4, 1, 2, 2, 1, 6, 3, 3, 1, 3, 6, 44, …)]

Representations

In words
one hundred thirteen thousand one hundred sixty-one
Ordinal
113161st
Binary
11011101000001001
Octal
335011
Hexadecimal
0x1BA09
Base64
AboJ
One's complement
4,294,854,134 (32-bit)
Scientific notation
1.13161 × 10⁵
As a duration
113,161 s = 1 day, 7 hours, 26 minutes, 1 second
In other bases
ternary (3) 12202020011
quaternary (4) 123220021
quinary (5) 12110121
senary (6) 2231521
septenary (7) 650626
nonary (9) 182204
undecimal (11) 78024
duodecimal (12) 555a1
tridecimal (13) 3c679
tetradecimal (14) 2d34d
pentadecimal (15) 237e1

As an angle

113,161° = 314 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριγρξαʹ
Mayan (base 20)
𝋮·𝋢·𝋲·𝋡
Chinese
一十一萬三千一百六十一
Chinese (financial)
壹拾壹萬參仟壹佰陸拾壹
In other modern scripts
Eastern Arabic ١١٣١٦١ Devanagari ११३१६१ Bengali ১১৩১৬১ Tamil ௧௧௩௧௬௧ Thai ๑๑๓๑๖๑ Tibetan ༡༡༣༡༦༡ Khmer ១១៣១៦១ Lao ໑໑໓໑໖໑ Burmese ၁၁၃၁၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 113159, sexy with 113167.

Hex color
#01BA09
RGB(1, 186, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.9.

Address
0.1.186.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.9

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 113,161 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 113161 first appears in π at position 360,791 of the decimal expansion (the 360,791ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.