Live analysis

133,100

133,100 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.).

133,100 (one hundred thirty-three thousand one hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5² × 11³. Its proper divisors sum to 184,588, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207EC.

Abundant Number Achilles Number Gapful Number Odious Number Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

133,088 133,089 133,090 133,091 133,092 133,093 133,094 133,095 133,096 133,097 133,098 133,099 133,100 133,101 133,102 133,103 133,104 133,105 133,106 133,107 133,108 133,109 133,110 133,111 133,112

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Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 18 bits
Reversed: 1,331
Square (n²): 17,715,610,000
Cube (n³): 2,357,947,691,000,000
Divisor count: 36
σ(n) — sum of divisors: 317,688
φ(n) — Euler's totient: 48,400
Sum of prime factors: 47

Primality

Prime factorization: 2 ² × 5 ² × 11 ³

Nearest primes: 133,097 (−3) · 133,103 (+3)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 25 · 44 · 50 · 55 · 100 · 110 · 121 · 220 · 242 · 275 · 484 · 550 · 605 · 1100 · 1210 · 1331 · 2420 · 2662 · 3025 · 5324 · 6050 · 6655 · 12100 · 13310 · 26620 · 33275 · 66550 (half) · 133100

Aliquot sum (sum of proper divisors): 184,588

Factor pairs (a × b = 133,100)

1 × 133100

2 × 66550

4 × 33275

5 × 26620

10 × 13310

11 × 12100

20 × 6655

22 × 6050

25 × 5324

44 × 3025

50 × 2662

55 × 2420

100 × 1331

110 × 1210

121 × 1100

220 × 605

242 × 550

275 × 484

First multiples

133,100 · 266,200 (double) · 399,300 · 532,400 · 665,500 · 798,600 · 931,700 · 1,064,800 · 1,197,900 · 1,331,000

Sums & aliquot sequence

As consecutive integers: 26,618 + 26,619 + 26,620 + 26,621 + 26,622 16,634 + 16,635 + … + 16,641 12,095 + 12,096 + … + 12,105 5,312 + 5,313 + … + 5,336

Aliquot sequence: 133,100 → 184,588 → 138,448 → 146,132 → 164,332 → 164,388 → 301,532 → 368,788 → 368,844 → 614,964 → 1,025,164 → 1,232,756 → 1,232,812 → 1,232,868 → 2,310,812 → 2,310,868 → 2,310,924 — unresolved within range

Continued fraction of √n

√133,100 = [364; (1, 4, 1, 5, 5, 12, 1, 5, 9, 2, 3, 5, 1, 2, 1, 7, 2, 5, 1, 1, 3, 1, 1, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-three thousand one hundred
Ordinal: 133100th
Binary: 100000011111101100
Octal: 403754
Hexadecimal: 0x207EC
Base64: Agfs
One's complement: 4,294,834,195 (32-bit)
Scientific notation: 1.331 × 10⁵
As a duration: 133,100 s = 1 day, 12 hours, 58 minutes, 20 seconds

In other bases

ternary (3) 20202120122

quaternary (4) 200133230

quinary (5) 13224400

senary (6) 2504112

septenary (7) 1063022

nonary (9) 222518

undecimal (11) 91000

duodecimal (12) 65038

tridecimal (13) 48776

tetradecimal (14) 36712

pentadecimal (15) 29685

As an angle

133,100° = 369 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢
Greek (Milesian): ͵ρλγρʹ
Mayan (base 20): 𝋰·𝋬·𝋯·𝋠
Chinese: 一十三萬三千一百
Chinese (financial): 壹拾參萬參仟壹佰

In other modern scripts

Eastern Arabic ١٣٣١٠٠ Devanagari १३३१०० Bengali ১৩৩১০০ Tamil ௧௩௩௧௦௦ Thai ๑๓๓๑๐๐ Tibetan ༡༣༣༡༠༠ Khmer ១៣៣១០០ Lao ໑໓໓໑໐໐ Burmese ၁၃၃၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133100, here are decompositions:

3 + 133097 = 133100
13 + 133087 = 133100
31 + 133069 = 133100
61 + 133039 = 133100
67 + 133033 = 133100
139 + 132961 = 133100
151 + 132949 = 133100
241 + 132859 = 133100

Showing the first eight; more decompositions exist.

Unicode codepoint

𠟬

CJK Unified Ideograph-207Ec

U+207EC

Other letter (Lo)

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

Lookup U+207EC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0207EC

RGB(2, 7, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.236.

Address: 0.2.7.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.7.236

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 133,100 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 US133,100 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 133100 first appears in π at position 700,657 of the decimal expansion (the 700,657ordinal-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 133100 on Pi Search ↗