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133,981

133,981 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.).

133,981 (one hundred thirty-three thousand nine hundred eighty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20B5D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
648
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
189,331
Square (n²)
17,950,908,361
Cube (n³)
2,405,080,653,115,141
Divisor count
2
σ(n) — sum of divisors
133,982
φ(n) — Euler's totient
133,980

Primality

133,981 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133981
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,981)
1 × 133981
First multiples
133,981 · 267,962 (double) · 401,943 · 535,924 · 669,905 · 803,886 · 937,867 · 1,071,848 · 1,205,829 · 1,339,810

Sums & aliquot sequence

As a sum of two squares: 5² + 366²
As consecutive integers: 66,990 + 66,991

Continued fraction of √n

√133,981 = [366; (29, 3, 1, 1, 4, 8, 5, 9, 3, 4, 1, 9, 1, 3, 1, 15, 1, 5, 3, 6, 3, 1, 1, 2, …)]

Representations

In words
one hundred thirty-three thousand nine hundred eighty-one
Ordinal
133981st
Binary
100000101101011101
Octal
405535
Hexadecimal
0x20B5D
Base64
Agtd
One's complement
4,294,833,314 (32-bit)
Scientific notation
1.33981 × 10⁵
As a duration
133,981 s = 1 day, 13 hours, 13 minutes, 1 second
In other bases
ternary (3) 20210210021
quaternary (4) 200231131
quinary (5) 13241411
senary (6) 2512141
septenary (7) 1065421
nonary (9) 223707
undecimal (11) 91731
duodecimal (12) 65651
tridecimal (13) 48ca3
tetradecimal (14) 36b81
pentadecimal (15) 29a71

As an angle

133,981° = 372 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγϡπαʹ
Mayan (base 20)
𝋰·𝋮·𝋳·𝋡
Chinese
一十三萬三千九百八十一
Chinese (financial)
壹拾參萬參仟玖佰捌拾壹
In other modern scripts
Eastern Arabic ١٣٣٩٨١ Devanagari १३३९८१ Bengali ১৩৩৯৮১ Tamil ௧௩௩௯௮௧ Thai ๑๓๓๙๘๑ Tibetan ༡༣༣༩༨༡ Khmer ១៣៣៩៨១ Lao ໑໓໓໙໘໑ Burmese ၁၃၃၉၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 133979.

Unicode codepoint
𠭝
CJK Unified Ideograph-20B5D
U+20B5D
Other letter (Lo)

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

Hex color
#020B5D
RGB(2, 11, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.93.

Address
0.2.11.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.93

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 133,981 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.