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Live analysis

131,041

131,041 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 Balanced Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
140,131
Square (n²)
17,171,743,681
Cube (n³)
2,250,202,463,701,921
Divisor count
2
σ(n) — sum of divisors
131,042
φ(n) — Euler's totient
131,040

Primality

131,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,041)
1 × 131041
First multiples
131,041 · 262,082 (double) · 393,123 · 524,164 · 655,205 · 786,246 · 917,287 · 1,048,328 · 1,179,369 · 1,310,410

Sums & aliquot sequence

As a sum of two squares: 240² + 271²
As consecutive integers: 65,520 + 65,521

Continued fraction of √n

√131,041 = [361; (1, 240, 3, 80, 9, 26, 1, 2, 2, 1, 2, 8, 1, 1, 3, 5, 2, 2, 1, 1, 10, 1, 1, 4, …)]

Representations

In words
one hundred thirty-one thousand forty-one
Ordinal
131041st
Binary
11111111111100001
Octal
377741
Hexadecimal
0x1FFE1
Base64
Af/h
One's complement
4,294,836,254 (32-bit)
Scientific notation
1.31041 × 10⁵
As a duration
131,041 s = 1 day, 12 hours, 24 minutes, 1 second
In other bases
ternary (3) 20122202101
quaternary (4) 133333201
quinary (5) 13143131
senary (6) 2450401
septenary (7) 1054021
nonary (9) 218671
undecimal (11) 8a4a9
duodecimal (12) 63a01
tridecimal (13) 47851
tetradecimal (14) 35a81
pentadecimal (15) 28c61

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαμαʹ
Mayan (base 20)
𝋰·𝋧·𝋬·𝋡
Chinese
一十三萬一千零四十一
Chinese (financial)
壹拾參萬壹仟零肆拾壹
In other modern scripts
Eastern Arabic ١٣١٠٤١ Devanagari १३१०४१ Bengali ১৩১০৪১ Tamil ௧௩௧௦௪௧ Thai ๑๓๑๐๔๑ Tibetan ༡༣༡༠༤༡ Khmer ១៣១០៤១ Lao ໑໓໑໐໔໑ Burmese ၁၃၁၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01FFE1
RGB(1, 255, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.255.225.

Address
0.1.255.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.255.225

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 131,041 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 131041 first appears in π at position 930,415 of the decimal expansion (the 930,415ordinal-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.