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133,201

133,201 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.).

133,201 (one hundred thirty-three thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20851.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
102,331
Square (n²)
17,742,506,401
Cube (n³)
2,363,319,595,119,601
Divisor count
2
σ(n) — sum of divisors
133,202
φ(n) — Euler's totient
133,200

Primality

133,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,201)
1 × 133201
First multiples
133,201 · 266,402 (double) · 399,603 · 532,804 · 666,005 · 799,206 · 932,407 · 1,065,608 · 1,198,809 · 1,332,010

Sums & aliquot sequence

As a sum of two squares: 100² + 351²
As consecutive integers: 66,600 + 66,601

Continued fraction of √n

√133,201 = [364; (1, 29, 2, 2, 2, 4, 1, 1, 1, 7, 4, 1, 9, 3, 242, 1, 90, 4, 14, 1, 22, 1, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand two hundred one
Ordinal
133201st
Binary
100000100001010001
Octal
404121
Hexadecimal
0x20851
Base64
AghR
One's complement
4,294,834,094 (32-bit)
Scientific notation
1.33201 × 10⁵
As a duration
133,201 s = 1 day, 13 hours, 1 second
In other bases
ternary (3) 20202201101
quaternary (4) 200201101
quinary (5) 13230301
senary (6) 2504401
septenary (7) 1063225
nonary (9) 222641
undecimal (11) 91092
duodecimal (12) 65101
tridecimal (13) 48823
tetradecimal (14) 36785
pentadecimal (15) 29701

As an angle

133,201° = 370 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ρλγσαʹ
Mayan (base 20)
𝋰·𝋭·𝋠·𝋡
Chinese
一十三萬三千二百零一
Chinese (financial)
壹拾參萬參仟貳佰零壹
In other modern scripts
Eastern Arabic ١٣٣٢٠١ Devanagari १३३२०१ Bengali ১৩৩২০১ Tamil ௧௩௩௨௦௧ Thai ๑๓๓๒๐๑ Tibetan ༡༣༣༢༠༡ Khmer ១៣៣២០១ Lao ໑໓໓໒໐໑ Burmese ၁၃၃၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠡑
CJK Unified Ideograph-20851
U+20851
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 91 (4 bytes).

Hex color
#020851
RGB(2, 8, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.81.

Address
0.2.8.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.81

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 133,201 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 133201 first appears in π at position 23,231 of the decimal expansion (the 23,231ordinal-suffix:st 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.