number.wiki
Live analysis

133,121

133,121 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.).

133,121 (one hundred thirty-three thousand one hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20801.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
121,331
Square (n²)
17,721,200,641
Cube (n³)
2,359,063,950,530,561
Divisor count
2
σ(n) — sum of divisors
133,122
φ(n) — Euler's totient
133,120

Primality

133,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,121)
1 × 133121
First multiples
133,121 · 266,242 (double) · 399,363 · 532,484 · 665,605 · 798,726 · 931,847 · 1,064,968 · 1,198,089 · 1,331,210

Sums & aliquot sequence

As a sum of two squares: 25² + 364²
As consecutive integers: 66,560 + 66,561

Continued fraction of √n

√133,121 = [364; (1, 6, 55, 1, 90, 4, 3, 3, 1, 6, 4, 45, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 6, 1, …)]

Representations

In words
one hundred thirty-three thousand one hundred twenty-one
Ordinal
133121st
Binary
100000100000000001
Octal
404001
Hexadecimal
0x20801
Base64
AggB
One's complement
4,294,834,174 (32-bit)
Scientific notation
1.33121 × 10⁵
As a duration
133,121 s = 1 day, 12 hours, 58 minutes, 41 seconds
In other bases
ternary (3) 20202121102
quaternary (4) 200200001
quinary (5) 13224441
senary (6) 2504145
septenary (7) 1063052
nonary (9) 222542
undecimal (11) 9101a
duodecimal (12) 65055
tridecimal (13) 48791
tetradecimal (14) 36729
pentadecimal (15) 2969b

As an angle

133,121° = 369 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλγρκαʹ
Mayan (base 20)
𝋰·𝋬·𝋰·𝋡
Chinese
一十三萬三千一百二十一
Chinese (financial)
壹拾參萬參仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٣١٢١ Devanagari १३३१२१ Bengali ১৩৩১২১ Tamil ௧௩௩௧௨௧ Thai ๑๓๓๑๒๑ Tibetan ༡༣༣༡༢༡ Khmer ១៣៣១២១ Lao ໑໓໓໑໒໑ Burmese ၁၃၃၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133117.

Unicode codepoint
𠠁
CJK Unified Ideograph-20801
U+20801
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 81 (4 bytes).

Hex color
#020801
RGB(2, 8, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.1.

Address
0.2.8.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.1

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 133,121 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.