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133,051

133,051 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.).

133,051 (one hundred thirty-three thousand fifty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x207BB.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
150,331
Square (n²)
17,702,568,601
Cube (n³)
2,355,344,454,931,651
Divisor count
2
σ(n) — sum of divisors
133,052
φ(n) — Euler's totient
133,050

Primality

133,051 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133051
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,051)
1 × 133051
First multiples
133,051 · 266,102 (double) · 399,153 · 532,204 · 665,255 · 798,306 · 931,357 · 1,064,408 · 1,197,459 · 1,330,510

Sums & aliquot sequence

As consecutive integers: 66,525 + 66,526

Continued fraction of √n

√133,051 = [364; (1, 3, 5, 6, 1, 1, 103, 1, 2, 7, 1, 6, 3, 1, 2, 14, 1, 1, 9, 4, 1, 3, 7, 5, …)]

Representations

In words
one hundred thirty-three thousand fifty-one
Ordinal
133051st
Binary
100000011110111011
Octal
403673
Hexadecimal
0x207BB
Base64
Age7
One's complement
4,294,834,244 (32-bit)
Scientific notation
1.33051 × 10⁵
As a duration
133,051 s = 1 day, 12 hours, 57 minutes, 31 seconds
In other bases
ternary (3) 20202111211
quaternary (4) 200132323
quinary (5) 13224201
senary (6) 2503551
septenary (7) 1062622
nonary (9) 222454
undecimal (11) 90a66
duodecimal (12) 64bb7
tridecimal (13) 48739
tetradecimal (14) 366b9
pentadecimal (15) 29651

As an angle

133,051° = 369 × 360° + 211°
211° ≈ 3.683 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλγναʹ
Mayan (base 20)
𝋰·𝋬·𝋬·𝋫
Chinese
一十三萬三千零五十一
Chinese (financial)
壹拾參萬參仟零伍拾壹
In other modern scripts
Eastern Arabic ١٣٣٠٥١ Devanagari १३३०५१ Bengali ১৩৩০৫১ Tamil ௧௩௩௦௫௧ Thai ๑๓๓๐๕๑ Tibetan ༡༣༣༠༥༡ Khmer ១៣៣០៥១ Lao ໑໓໓໐໕໑ Burmese ၁၃၃၀၅၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠞻
CJK Unified Ideograph-207Bb
U+207BB
Other letter (Lo)

UTF-8 encoding: F0 A0 9E BB (4 bytes).

Hex color
#0207BB
RGB(2, 7, 187)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.187.

Address
0.2.7.187
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.187

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 133,051 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 133051 first appears in π at position 587,972 of the decimal expansion (the 587,972ordinal-suffix:nd 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.