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131,293

131,293 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 Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
162
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
392,131
Square (n²)
17,237,851,849
Cube (n³)
2,263,209,282,810,757
Divisor count
2
σ(n) — sum of divisors
131,294
φ(n) — Euler's totient
131,292

Primality

131,293 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131293
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,293)
1 × 131293
First multiples
131,293 · 262,586 (double) · 393,879 · 525,172 · 656,465 · 787,758 · 919,051 · 1,050,344 · 1,181,637 · 1,312,930

Sums & aliquot sequence

As a sum of two squares: 62² + 357²
As consecutive integers: 65,646 + 65,647

Continued fraction of √n

√131,293 = [362; (2, 1, 9, 1, 102, 1, 1, 1, 1, 1, 2, 1, 7, 14, 1, 1, 1, 16, 5, 6, 1, 1, 19, 1, …)]

Representations

In words
one hundred thirty-one thousand two hundred ninety-three
Ordinal
131293rd
Binary
100000000011011101
Octal
400335
Hexadecimal
0x200DD
Base64
AgDd
One's complement
4,294,836,002 (32-bit)
Scientific notation
1.31293 × 10⁵
As a duration
131,293 s = 1 day, 12 hours, 28 minutes, 13 seconds
In other bases
ternary (3) 20200002201
quaternary (4) 200003131
quinary (5) 13200133
senary (6) 2451501
septenary (7) 1054531
nonary (9) 220081
undecimal (11) 8a708
duodecimal (12) 63b91
tridecimal (13) 479b6
tetradecimal (14) 35bc1
pentadecimal (15) 28d7d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλασϟγʹ
Mayan (base 20)
𝋰·𝋨·𝋤·𝋭
Chinese
一十三萬一千二百九十三
Chinese (financial)
壹拾參萬壹仟貳佰玖拾參
In other modern scripts
Eastern Arabic ١٣١٢٩٣ Devanagari १३१२९३ Bengali ১৩১২৯৩ Tamil ௧௩௧௨௯௩ Thai ๑๓๑๒๙๓ Tibetan ༡༣༡༢༩༣ Khmer ១៣១២៩៣ Lao ໑໓໑໒໙໓ Burmese ၁၃၁၂၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 131297.

Unicode codepoint
𠃝
CJK Unified Ideograph-200Dd
U+200DD
Other letter (Lo)

UTF-8 encoding: F0 A0 83 9D (4 bytes).

Hex color
#0200DD
RGB(2, 0, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.221.

Address
0.2.0.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.221

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 131,293 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 131293 first appears in π at position 302,619 of the decimal expansion (the 302,619ordinal-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.