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133,781

133,781 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.).

133,781 (one hundred thirty-three thousand seven 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, 0x20A95.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
187,331
Square (n²)
17,897,355,961
Cube (n³)
2,394,326,177,818,541
Divisor count
2
σ(n) — sum of divisors
133,782
φ(n) — Euler's totient
133,780

Primality

133,781 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133781
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,781)
1 × 133781
First multiples
133,781 · 267,562 (double) · 401,343 · 535,124 · 668,905 · 802,686 · 936,467 · 1,070,248 · 1,204,029 · 1,337,810

Sums & aliquot sequence

As a sum of two squares: 70² + 359²
As consecutive integers: 66,890 + 66,891

Continued fraction of √n

√133,781 = [365; (1, 3, 5, 1, 1, 24, 1, 2, 7, 4, 1, 9, 1, 19, 1, 145, 2, 1, 5, 4, 3, 4, 1, 2, …)]

Representations

In words
one hundred thirty-three thousand seven hundred eighty-one
Ordinal
133781st
Binary
100000101010010101
Octal
405225
Hexadecimal
0x20A95
Base64
AgqV
One's complement
4,294,833,514 (32-bit)
Scientific notation
1.33781 × 10⁵
As a duration
133,781 s = 1 day, 13 hours, 9 minutes, 41 seconds
In other bases
ternary (3) 20210111212
quaternary (4) 200222111
quinary (5) 13240111
senary (6) 2511205
septenary (7) 1065014
nonary (9) 223455
undecimal (11) 9156a
duodecimal (12) 65505
tridecimal (13) 48b7b
tetradecimal (14) 36a7b
pentadecimal (15) 2998b

As an angle

133,781° = 371 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγψπαʹ
Mayan (base 20)
𝋰·𝋮·𝋩·𝋡
Chinese
一十三萬三千七百八十一
Chinese (financial)
壹拾參萬參仟柒佰捌拾壹
In other modern scripts
Eastern Arabic ١٣٣٧٨١ Devanagari १३३७८१ Bengali ১৩৩৭৮১ Tamil ௧௩௩௭௮௧ Thai ๑๓๓๗๘๑ Tibetan ༡༣༣༧༨༡ Khmer ១៣៣៧៨១ Lao ໑໓໓໗໘໑ Burmese ၁၃၃၇၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠪕
CJK Unified Ideograph-20A95
U+20A95
Other letter (Lo)

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

Hex color
#020A95
RGB(2, 10, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.149.

Address
0.2.10.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.149

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 133,781 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 133781 first appears in π at position 988,999 of the decimal expansion (the 988,999ordinal-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.

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.