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131,111

131,111 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 Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
3
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
111,131
Square (n²)
17,190,094,321
Cube (n³)
2,253,810,456,520,631
Divisor count
2
σ(n) — sum of divisors
131,112
φ(n) — Euler's totient
131,110

Primality

131,111 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131111
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,111)
1 × 131111
First multiples
131,111 · 262,222 (double) · 393,333 · 524,444 · 655,555 · 786,666 · 917,777 · 1,048,888 · 1,179,999 · 1,311,110

Sums & aliquot sequence

As consecutive integers: 65,555 + 65,556

Continued fraction of √n

√131,111 = [362; (10, 1, 4, 5, 4, 6, 1, 13, 1, 1, 1, 1, 1, 4, 2, 1, 37, 2, 2, 1, 6, 1, 102, 1, …)]

Representations

In words
one hundred thirty-one thousand one hundred eleven
Ordinal
131111th
Binary
100000000000100111
Octal
400047
Hexadecimal
0x20027
Base64
AgAn
One's complement
4,294,836,184 (32-bit)
Scientific notation
1.31111 × 10⁵
As a duration
131,111 s = 1 day, 12 hours, 25 minutes, 11 seconds
In other bases
ternary (3) 20122211222
quaternary (4) 200000213
quinary (5) 13143421
senary (6) 2450555
septenary (7) 1054151
nonary (9) 218758
undecimal (11) 8a562
duodecimal (12) 63a5b
tridecimal (13) 478a6
tetradecimal (14) 35ad1
pentadecimal (15) 28cab

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓎆𓏺
Greek (Milesian)
͵ρλαριαʹ
Mayan (base 20)
𝋰·𝋧·𝋯·𝋫
Chinese
一十三萬一千一百一十一
Chinese (financial)
壹拾參萬壹仟壹佰壹拾壹
In other modern scripts
Eastern Arabic ١٣١١١١ Devanagari १३११११ Bengali ১৩১১১১ Tamil ௧௩௧௧௧௧ Thai ๑๓๑๑๑๑ Tibetan ༡༣༡༡༡༡ Khmer ១៣១១១១ Lao ໑໓໑໑໑໑ Burmese ၁၃၁၁၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131113.

Unicode codepoint
𠀧
CJK Unified Ideograph-20027
U+20027
Other letter (Lo)

UTF-8 encoding: F0 A0 80 A7 (4 bytes).

Hex color
#020027
RGB(2, 0, 39)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.39.

Address
0.2.0.39
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.39

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 131,111 and was likely granted around 1872.

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