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133,157

133,157 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.).

133,157 (one hundred thirty-three thousand one hundred fifty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20825.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
751,331
Square (n²)
17,730,786,649
Cube (n³)
2,360,978,357,820,893
Divisor count
2
σ(n) — sum of divisors
133,158
φ(n) — Euler's totient
133,156

Primality

133,157 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133157
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,157)
1 × 133157
First multiples
133,157 · 266,314 (double) · 399,471 · 532,628 · 665,785 · 798,942 · 932,099 · 1,065,256 · 1,198,413 · 1,331,570

Sums & aliquot sequence

As a sum of two squares: 241² + 274²
As consecutive integers: 66,578 + 66,579

Continued fraction of √n

√133,157 = [364; (1, 9, 1, 2, 1, 3, 7, 3, 1, 8, 2, 11, 1, 8, 1, 2, 6, 2, 9, 1, 4, 2, 2, 1, …)]

Representations

In words
one hundred thirty-three thousand one hundred fifty-seven
Ordinal
133157th
Binary
100000100000100101
Octal
404045
Hexadecimal
0x20825
Base64
Aggl
One's complement
4,294,834,138 (32-bit)
Scientific notation
1.33157 × 10⁵
As a duration
133,157 s = 1 day, 12 hours, 59 minutes, 17 seconds
In other bases
ternary (3) 20202122202
quaternary (4) 200200211
quinary (5) 13230112
senary (6) 2504245
septenary (7) 1063133
nonary (9) 222582
undecimal (11) 91052
duodecimal (12) 65085
tridecimal (13) 487bb
tetradecimal (14) 36753
pentadecimal (15) 296c2

As an angle

133,157° = 369 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγρνζʹ
Mayan (base 20)
𝋰·𝋬·𝋱·𝋱
Chinese
一十三萬三千一百五十七
Chinese (financial)
壹拾參萬參仟壹佰伍拾柒
In other modern scripts
Eastern Arabic ١٣٣١٥٧ Devanagari १३३१५७ Bengali ১৩৩১৫৭ Tamil ௧௩௩௧௫௭ Thai ๑๓๓๑๕๗ Tibetan ༡༣༣༡༥༧ Khmer ១៣៣១៥៧ Lao ໑໓໓໑໕໗ Burmese ၁၃၃၁၅၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133153.

Unicode codepoint
𠠥
CJK Unified Ideograph-20825
U+20825
Other letter (Lo)

UTF-8 encoding: F0 A0 A0 A5 (4 bytes).

Hex color
#020825
RGB(2, 8, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.37.

Address
0.2.8.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.37

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 133,157 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 133157 first appears in π at position 588,954 of the decimal expansion (the 588,954ordinal-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.