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133,271

133,271 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.).

133,271 (one hundred thirty-three thousand two hundred seventy-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20897.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
126
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
172,331
Square (n²)
17,761,159,441
Cube (n³)
2,367,047,479,861,511
Divisor count
2
σ(n) — sum of divisors
133,272
φ(n) — Euler's totient
133,270

Primality

133,271 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133271
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,271)
1 × 133271
First multiples
133,271 · 266,542 (double) · 399,813 · 533,084 · 666,355 · 799,626 · 932,897 · 1,066,168 · 1,199,439 · 1,332,710

Sums & aliquot sequence

As consecutive integers: 66,635 + 66,636

Continued fraction of √n

√133,271 = [365; (15, 1, 6, 1, 2, 1, 31, 365, 31, 1, 2, 1, 6, 1, 15, 730)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred seventy-one
Ordinal
133271st
Binary
100000100010010111
Octal
404227
Hexadecimal
0x20897
Base64
AgiX
One's complement
4,294,834,024 (32-bit)
Scientific notation
1.33271 × 10⁵
As a duration
133,271 s = 1 day, 13 hours, 1 minute, 11 seconds
In other bases
ternary (3) 20202210222
quaternary (4) 200202113
quinary (5) 13231041
senary (6) 2504555
septenary (7) 1063355
nonary (9) 222728
undecimal (11) 91146
duodecimal (12) 6515b
tridecimal (13) 48878
tetradecimal (14) 367d5
pentadecimal (15) 2974b

As an angle

133,271° = 370 × 360° + 71°
71° ≈ 1.239 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγσοαʹ
Mayan (base 20)
𝋰·𝋭·𝋣·𝋫
Chinese
一十三萬三千二百七十一
Chinese (financial)
壹拾參萬參仟貳佰柒拾壹
In other modern scripts
Eastern Arabic ١٣٣٢٧١ Devanagari १३३२७१ Bengali ১৩৩২৭১ Tamil ௧௩௩௨௭௧ Thai ๑๓๓๒๗๑ Tibetan ༡༣༣༢༧༡ Khmer ១៣៣២៧១ Lao ໑໓໓໒໗໑ Burmese ၁၃၃၂၇၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133277.

Unicode codepoint
𠢗
CJK Unified Ideograph-20897
U+20897
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 97 (4 bytes).

Hex color
#020897
RGB(2, 8, 151)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.151.

Address
0.2.8.151
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.151

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 133,271 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.