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133,801

133,801 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.).

133,801 (one hundred thirty-three thousand eight hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20AA9.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
108,331
Square (n²)
17,902,707,601
Cube (n³)
2,395,400,179,721,401
Divisor count
2
σ(n) — sum of divisors
133,802
φ(n) — Euler's totient
133,800

Primality

133,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,801)
1 × 133801
First multiples
133,801 · 267,602 (double) · 401,403 · 535,204 · 669,005 · 802,806 · 936,607 · 1,070,408 · 1,204,209 · 1,338,010

Sums & aliquot sequence

As a sum of two squares: 24² + 365²
As consecutive integers: 66,900 + 66,901

Continued fraction of √n

√133,801 = [365; (1, 3, 1, 2, 1, 1, 2, 2, 1, 2, 17, 1, 11, 2, 4, 1, 15, 2, 3, 1, 1, 1, 5, 2, …)]

Representations

In words
one hundred thirty-three thousand eight hundred one
Ordinal
133801st
Binary
100000101010101001
Octal
405251
Hexadecimal
0x20AA9
Base64
Agqp
One's complement
4,294,833,494 (32-bit)
Scientific notation
1.33801 × 10⁵
As a duration
133,801 s = 1 day, 13 hours, 10 minutes, 1 second
In other bases
ternary (3) 20210112121
quaternary (4) 200222221
quinary (5) 13240201
senary (6) 2511241
septenary (7) 1065043
nonary (9) 223477
undecimal (11) 91588
duodecimal (12) 65521
tridecimal (13) 48b95
tetradecimal (14) 36a93
pentadecimal (15) 299a1

As an angle

133,801° = 371 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλγωαʹ
Mayan (base 20)
𝋰·𝋮·𝋪·𝋡
Chinese
一十三萬三千八百零一
Chinese (financial)
壹拾參萬參仟捌佰零壹
In other modern scripts
Eastern Arabic ١٣٣٨٠١ Devanagari १३३८०१ Bengali ১৩৩৮০১ Tamil ௧௩௩௮௦௧ Thai ๑๓๓๘๐๑ Tibetan ༡༣༣༨༠༡ Khmer ១៣៣៨០១ Lao ໑໓໓໘໐໑ Burmese ၁၃၃၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠪩
CJK Unified Ideograph-20Aa9
U+20AA9
Other letter (Lo)

UTF-8 encoding: F0 A0 AA A9 (4 bytes).

Hex color
#020AA9
RGB(2, 10, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.169.

Address
0.2.10.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.169

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 133,801 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.