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133,153

133,153 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.).

133,153 (one hundred thirty-three thousand one hundred fifty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20821.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
135
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
351,331
Square (n²)
17,729,721,409
Cube (n³)
2,360,765,594,772,577
Divisor count
2
σ(n) — sum of divisors
133,154
φ(n) — Euler's totient
133,152

Primality

133,153 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133153
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,153)
1 × 133153
First multiples
133,153 · 266,306 (double) · 399,459 · 532,612 · 665,765 · 798,918 · 932,071 · 1,065,224 · 1,198,377 · 1,331,530

Sums & aliquot sequence

As a sum of two squares: 212² + 297²
As consecutive integers: 66,576 + 66,577

Continued fraction of √n

√133,153 = [364; (1, 9, 7, 3, 1, 2, 7, 1, 13, 2, 3, 23, 3, 1, 12, 19, 1, 1, 1, 4, 1, 2, 2, 1, …)]

Representations

In words
one hundred thirty-three thousand one hundred fifty-three
Ordinal
133153rd
Binary
100000100000100001
Octal
404041
Hexadecimal
0x20821
Base64
Aggh
One's complement
4,294,834,142 (32-bit)
Scientific notation
1.33153 × 10⁵
As a duration
133,153 s = 1 day, 12 hours, 59 minutes, 13 seconds
In other bases
ternary (3) 20202122121
quaternary (4) 200200201
quinary (5) 13230103
senary (6) 2504241
septenary (7) 1063126
nonary (9) 222577
undecimal (11) 91049
duodecimal (12) 65081
tridecimal (13) 487b7
tetradecimal (14) 3674d
pentadecimal (15) 296bd

As an angle

133,153° = 369 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρνγʹ
Mayan (base 20)
𝋰·𝋬·𝋱·𝋭
Chinese
一十三萬三千一百五十三
Chinese (financial)
壹拾參萬參仟壹佰伍拾參
In other modern scripts
Eastern Arabic ١٣٣١٥٣ Devanagari १३३१५३ Bengali ১৩৩১৫৩ Tamil ௧௩௩௧௫௩ Thai ๑๓๓๑๕๓ Tibetan ༡༣༣༡༥༣ Khmer ១៣៣១៥៣ Lao ໑໓໓໑໕໓ Burmese ၁၃၃၁၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133157.

Unicode codepoint
𠠡
CJK Unified Ideograph-20821
U+20821
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 A1 (4 bytes).

Hex color
#020821
RGB(2, 8, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.33.

Address
0.2.8.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.33

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 133,153 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.