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131,011

131,011 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 Happy Number Odious Number Pernicious Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
110,131
Square (n²)
17,163,882,121
Cube (n³)
2,248,657,360,554,331
Divisor count
2
σ(n) — sum of divisors
131,012
φ(n) — Euler's totient
131,010

Primality

131,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131011
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,011)
1 × 131011
First multiples
131,011 · 262,022 (double) · 393,033 · 524,044 · 655,055 · 786,066 · 917,077 · 1,048,088 · 1,179,099 · 1,310,110

Sums & aliquot sequence

As consecutive integers: 65,505 + 65,506

Continued fraction of √n

√131,011 = [361; (1, 20, 1, 15, 7, 1, 1, 3, 1, 5, 1, 6, 4, 11, 2, 3, 3, 55, 2, 1, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand eleven
Ordinal
131011th
Binary
11111111111000011
Octal
377703
Hexadecimal
0x1FFC3
Base64
Af/D
One's complement
4,294,836,284 (32-bit)
Scientific notation
1.31011 × 10⁵
As a duration
131,011 s = 1 day, 12 hours, 23 minutes, 31 seconds
In other bases
ternary (3) 20122201021
quaternary (4) 133333003
quinary (5) 13143021
senary (6) 2450311
septenary (7) 1053646
nonary (9) 218637
undecimal (11) 8a481
duodecimal (12) 63997
tridecimal (13) 4782a
tetradecimal (14) 35a5d
pentadecimal (15) 28c41

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓎆𓏺
Greek (Milesian)
͵ρλαιαʹ
Mayan (base 20)
𝋰·𝋧·𝋪·𝋫
Chinese
一十三萬一千零一十一
Chinese (financial)
壹拾參萬壹仟零壹拾壹
In other modern scripts
Eastern Arabic ١٣١٠١١ Devanagari १३१०११ Bengali ১৩১০১১ Tamil ௧௩௧௦௧௧ Thai ๑๓๑๐๑๑ Tibetan ༡༣༡༠༡༡ Khmer ១៣១០១១ Lao ໑໓໑໐໑໑ Burmese ၁၃၁၀၁၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131009.

Hex color
#01FFC3
RGB(1, 255, 195)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.195.

Address
0.1.255.195
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.255.195

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 131,011 and was likely granted around 1872.

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

Position in π

The digit sequence 131011 first appears in π at position 71,218 of the decimal expansion (the 71,218ordinal-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.