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131,113

131,113 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.).
Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
9
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
311,131
Square (n²)
17,190,618,769
Cube (n³)
2,253,913,598,659,897
Divisor count
2
σ(n) — sum of divisors
131,114
φ(n) — Euler's totient
131,112

Primality

131,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,113)
1 × 131113
First multiples
131,113 · 262,226 (double) · 393,339 · 524,452 · 655,565 · 786,678 · 917,791 · 1,048,904 · 1,180,017 · 1,311,130

Sums & aliquot sequence

As a sum of two squares: 192² + 307²
As consecutive integers: 65,556 + 65,557

Continued fraction of √n

√131,113 = [362; (10, 2, 42, 8, 8, 1, 4, 2, 3, 3, 7, 90, 2, 1, 1, 2, 2, 5, 5, 7, 8, 5, 2, 2, …)]

Representations

In words
one hundred thirty-one thousand one hundred thirteen
Ordinal
131113th
Binary
100000000000101001
Octal
400051
Hexadecimal
0x20029
Base64
AgAp
One's complement
4,294,836,182 (32-bit)
Scientific notation
1.31113 × 10⁵
As a duration
131,113 s = 1 day, 12 hours, 25 minutes, 13 seconds
In other bases
ternary (3) 20122212001
quaternary (4) 200000221
quinary (5) 13143423
senary (6) 2451001
septenary (7) 1054153
nonary (9) 218761
undecimal (11) 8a564
duodecimal (12) 63a61
tridecimal (13) 478a8
tetradecimal (14) 35ad3
pentadecimal (15) 28cad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλαριγʹ
Mayan (base 20)
𝋰·𝋧·𝋯·𝋭
Chinese
一十三萬一千一百一十三
Chinese (financial)
壹拾參萬壹仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٣١١١٣ Devanagari १३१११३ Bengali ১৩১১১৩ Tamil ௧௩௧௧௧௩ Thai ๑๓๑๑๑๓ Tibetan ༡༣༡༡༡༣ Khmer ១៣១១១៣ Lao ໑໓໑໑໑໓ Burmese ၁၃၁၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131111.

Unicode codepoint
𠀩
CJK Unified Ideograph-20029
U+20029
Other letter (Lo)

UTF-8 encoding: F0 A0 80 A9 (4 bytes).

Hex color
#020029
RGB(2, 0, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.41.

Address
0.2.0.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.41

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 131,113 and was likely granted around 1872.

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