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133,451

133,451 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.).

133,451 (one hundred thirty-three thousand four hundred fifty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2094B.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
180
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
154,331
Recamán's sequence
a(35,562) = 133,451
Square (n²)
17,809,169,401
Cube (n³)
2,376,651,465,732,851
Divisor count
2
σ(n) — sum of divisors
133,452
φ(n) — Euler's totient
133,450

Primality

133,451 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133451
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,451)
1 × 133451
First multiples
133,451 · 266,902 (double) · 400,353 · 533,804 · 667,255 · 800,706 · 934,157 · 1,067,608 · 1,201,059 · 1,334,510

Sums & aliquot sequence

As consecutive integers: 66,725 + 66,726

Continued fraction of √n

√133,451 = [365; (3, 4, 3, 8, 3, 2, 72, 1, 1, 1, 2, 2, 3, 1, 20, 1, 2, 1, 1, 28, 1, 1, 1, 7, …)]

Representations

In words
one hundred thirty-three thousand four hundred fifty-one
Ordinal
133451st
Binary
100000100101001011
Octal
404513
Hexadecimal
0x2094B
Base64
AglL
One's complement
4,294,833,844 (32-bit)
Scientific notation
1.33451 × 10⁵
As a duration
133,451 s = 1 day, 13 hours, 4 minutes, 11 seconds
In other bases
ternary (3) 20210001122
quaternary (4) 200211023
quinary (5) 13232301
senary (6) 2505455
septenary (7) 1064033
nonary (9) 223048
undecimal (11) 9129a
duodecimal (12) 6528b
tridecimal (13) 48986
tetradecimal (14) 368c3
pentadecimal (15) 2981b

As an angle

133,451° = 370 × 360° + 251°
251° ≈ 4.381 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγυναʹ
Mayan (base 20)
𝋰·𝋭·𝋬·𝋫
Chinese
一十三萬三千四百五十一
Chinese (financial)
壹拾參萬參仟肆佰伍拾壹
In other modern scripts
Eastern Arabic ١٣٣٤٥١ Devanagari १३३४५१ Bengali ১৩৩৪৫১ Tamil ௧௩௩௪௫௧ Thai ๑๓๓๔๕๑ Tibetan ༡༣༣༤༥༡ Khmer ១៣៣៤៥១ Lao ໑໓໓໔໕໑ Burmese ၁၃၃၄၅၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133447.

Unicode codepoint
𠥋
CJK Unified Ideograph-2094B
U+2094B
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 8B (4 bytes).

Hex color
#02094B
RGB(2, 9, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.75.

Address
0.2.9.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.75

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 133,451 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.