Live analysis

133,010

133,010 is a composite number, even.

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.).

133,010 (one hundred thirty-three thousand ten) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 47 × 283. Written other ways, in hexadecimal, 0x20792.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

132,998 132,999 133,000 133,001 133,002 133,003 133,004 133,005 133,006 133,007 133,008 133,009 133,010 133,011 133,012 133,013 133,014 133,015 133,016 133,017 133,018 133,019 133,020 133,021 133,022

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 10,331
Square (n²): 17,691,660,100
Cube (n³): 2,353,167,709,901,000
Divisor count: 16
σ(n) — sum of divisors: 245,376
φ(n) — Euler's totient: 51,888
Sum of prime factors: 337

Primality

Prime factorization: 2 × 5 × 47 × 283

Nearest primes: 132,989 (−21) · 133,013 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 5 · 10 · 47 · 94 · 235 · 283 · 470 · 566 · 1415 · 2830 · 13301 · 26602 · 66505 (half) · 133010

Aliquot sum (sum of proper divisors): 112,366

Factor pairs (a × b = 133,010)

1 × 133010

2 × 66505

5 × 26602

10 × 13301

47 × 2830

94 × 1415

235 × 566

283 × 470

First multiples

133,010 · 266,020 (double) · 399,030 · 532,040 · 665,050 · 798,060 · 931,070 · 1,064,080 · 1,197,090 · 1,330,100

Sums & aliquot sequence

As consecutive integers: 33,251 + 33,252 + 33,253 + 33,254 26,600 + 26,601 + 26,602 + 26,603 + 26,604 6,641 + 6,642 + … + 6,660 2,807 + 2,808 + … + 2,853

Aliquot sequence: 133,010 → 112,366 → 65,114 → 46,534 → 24,746 → 12,376 → 17,864 → 25,336 → 22,184 → 21,016 → 20,024 → 17,536 → 17,654 → 15,274 → 10,934 → 9,802 → 6,668 — unresolved within range

Continued fraction of √n

√133,010 = [364; (1, 2, 2, 1, 1, 6, 23, 2, 1, 1, 1, 5, 2, 2, 15, 2, 4, 1, 1, 20, 1, 9, 3, 7, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-three thousand ten
Ordinal: 133010th
Binary: 100000011110010010
Octal: 403622
Hexadecimal: 0x20792
Base64: AgeS
One's complement: 4,294,834,285 (32-bit)
Scientific notation: 1.3301 × 10⁵
As a duration: 133,010 s = 1 day, 12 hours, 56 minutes, 50 seconds

In other bases

ternary (3) 20202110022

quaternary (4) 200132102

quinary (5) 13224020

senary (6) 2503442

septenary (7) 1062533

nonary (9) 222408

undecimal (11) 90a29

duodecimal (12) 64b82

tridecimal (13) 48707

tetradecimal (14) 3668a

pentadecimal (15) 29625

As an angle

133,010° = 369 × 360° + 170°

170° ≈ 2.967 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆
Greek (Milesian): ͵ρλγιʹ
Mayan (base 20): 𝋰·𝋬·𝋪·𝋪
Chinese: 一十三萬三千零一十
Chinese (financial): 壹拾參萬參仟零壹拾

In other modern scripts

Eastern Arabic ١٣٣٠١٠ Devanagari १३३०१० Bengali ১৩৩০১০ Tamil ௧௩௩௦௧௦ Thai ๑๓๓๐๑๐ Tibetan ༡༣༣༠༡༠ Khmer ១៣៣០១០ Lao ໑໓໓໐໑໐ Burmese ၁၃၃၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133010, here are decompositions:

43 + 132967 = 133010
61 + 132949 = 133010
151 + 132859 = 133010
193 + 132817 = 133010
271 + 132739 = 133010
313 + 132697 = 133010
331 + 132679 = 133010
349 + 132661 = 133010

Showing the first eight; more decompositions exist.

Unicode codepoint

𠞒

CJK Unified Ideograph-20792

U+20792

Other letter (Lo)

UTF-8 encoding: F0 A0 9E 92 (4 bytes).

Lookup U+20792 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020792

RGB(2, 7, 146)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.146.

Address: 0.2.7.146
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.7.146

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 133,010 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US133,010 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 133010 first appears in π at position 493,206 of the decimal expansion (the 493,206ordinal-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.

Look up 133010 on Pi Search ↗