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133,103

133,103 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.).

133,103 (one hundred thirty-three thousand one hundred three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x207EF.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
301,331
Square (n²)
17,716,408,609
Cube (n³)
2,358,107,135,083,727
Divisor count
2
σ(n) — sum of divisors
133,104
φ(n) — Euler's totient
133,102

Primality

133,103 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133103
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,103)
1 × 133103
First multiples
133,103 · 266,206 (double) · 399,309 · 532,412 · 665,515 · 798,618 · 931,721 · 1,064,824 · 1,197,927 · 1,331,030

Sums & aliquot sequence

As consecutive integers: 66,551 + 66,552

Continued fraction of √n

√133,103 = [364; (1, 4, 1, 55, 3, 2, 1, 1, 4, 4, 10, 25, 15, 1, 4, 1, 1, 1, 2, 1, 1, 3, 4, 1, …)]

Representations

In words
one hundred thirty-three thousand one hundred three
Ordinal
133103rd
Binary
100000011111101111
Octal
403757
Hexadecimal
0x207EF
Base64
Agfv
One's complement
4,294,834,192 (32-bit)
Scientific notation
1.33103 × 10⁵
As a duration
133,103 s = 1 day, 12 hours, 58 minutes, 23 seconds
In other bases
ternary (3) 20202120202
quaternary (4) 200133233
quinary (5) 13224403
senary (6) 2504115
septenary (7) 1063025
nonary (9) 222522
undecimal (11) 91003
duodecimal (12) 6503b
tridecimal (13) 48779
tetradecimal (14) 36715
pentadecimal (15) 29688
Palindromic in base 3

As an angle

133,103° = 369 × 360° + 263°
263° ≈ 4.59 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺
Greek (Milesian)
͵ρλγργʹ
Mayan (base 20)
𝋰·𝋬·𝋯·𝋣
Chinese
一十三萬三千一百零三
Chinese (financial)
壹拾參萬參仟壹佰零參
In other modern scripts
Eastern Arabic ١٣٣١٠٣ Devanagari १३३१०३ Bengali ১৩৩১০৩ Tamil ௧௩௩௧௦௩ Thai ๑๓๓๑๐๓ Tibetan ༡༣༣༡༠༣ Khmer ១៣៣១០៣ Lao ໑໓໓໑໐໓ Burmese ၁၃၃၁၀၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133097, sexy with 133109.

Unicode codepoint
𠟯
CJK Unified Ideograph-207Ef
U+207EF
Other letter (Lo)

UTF-8 encoding: F0 A0 9F AF (4 bytes).

Hex color
#0207EF
RGB(2, 7, 239)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.239.

Address
0.2.7.239
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.239

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 133,103 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 133103 first appears in π at position 17,384 of the decimal expansion (the 17,384ordinal-suffix:th 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.