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131,477

131,477 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.).

131,477 (one hundred thirty-one thousand four hundred seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20195.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
588
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
774,131
Recamán's sequence
a(229,418) = 131,477
Square (n²)
17,286,201,529
Cube (n³)
2,272,737,918,428,333
Divisor count
2
σ(n) — sum of divisors
131,478
φ(n) — Euler's totient
131,476

Primality

131,477 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131477
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,477)
1 × 131477
First multiples
131,477 · 262,954 (double) · 394,431 · 525,908 · 657,385 · 788,862 · 920,339 · 1,051,816 · 1,183,293 · 1,314,770

Sums & aliquot sequence

As a sum of two squares: 34² + 361²
As consecutive integers: 65,738 + 65,739

Continued fraction of √n

√131,477 = [362; (1, 1, 2, 16, 12, 4, 2, 1, 18, 1, 9, 1, 6, 1, 37, 3, 2, 1, 1, 6, 2, 4, 1, 3, …)]

Representations

In words
one hundred thirty-one thousand four hundred seventy-seven
Ordinal
131477th
Binary
100000000110010101
Octal
400625
Hexadecimal
0x20195
Base64
AgGV
One's complement
4,294,835,818 (32-bit)
Scientific notation
1.31477 × 10⁵
As a duration
131,477 s = 1 day, 12 hours, 31 minutes, 17 seconds
In other bases
ternary (3) 20200100112
quaternary (4) 200012111
quinary (5) 13201402
senary (6) 2452405
septenary (7) 1055213
nonary (9) 220315
undecimal (11) 8a865
duodecimal (12) 64105
tridecimal (13) 47ac8
tetradecimal (14) 35cb3
pentadecimal (15) 28e52

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαυοζʹ
Mayan (base 20)
𝋰·𝋨·𝋭·𝋱
Chinese
一十三萬一千四百七十七
Chinese (financial)
壹拾參萬壹仟肆佰柒拾柒
In other modern scripts
Eastern Arabic ١٣١٤٧٧ Devanagari १३१४७७ Bengali ১৩১৪৭৭ Tamil ௧௩௧௪௭௭ Thai ๑๓๑๔๗๗ Tibetan ༡༣༡༤༧༧ Khmer ១៣១៤៧៧ Lao ໑໓໑໔໗໗ Burmese ၁၃၁၄၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131479.

Unicode codepoint
𠆕
CJK Unified Ideograph-20195
U+20195
Other letter (Lo)

UTF-8 encoding: F0 A0 86 95 (4 bytes).

Hex color
#020195
RGB(2, 1, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.149.

Address
0.2.1.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.149

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 131,477 and was likely granted around 1872.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.