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128,013

128,013 is a composite number, 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.).

128,013 (one hundred twenty-eight thousand thirteen) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 3 × 71 × 601. Written other ways, in hexadecimal, 0x1F40D.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
310,821
Square (n²)
16,387,328,169
Cube (n³)
2,097,791,040,898,197
Divisor count
8
σ(n) — sum of divisors
173,376
φ(n) — Euler's totient
84,000
Sum of prime factors
675

Primality

Prime factorization: 3 × 71 × 601

Nearest primes: 127,997 (−16) · 128,021 (+8)

Divisors & multiples

All divisors (8)
1 · 3 · 71 · 213 · 601 · 1803 · 42671 · 128013
Aliquot sum (sum of proper divisors): 45,363
Factor pairs (a × b = 128,013)
1 × 128013
3 × 42671
71 × 1803
213 × 601
First multiples
128,013 · 256,026 (double) · 384,039 · 512,052 · 640,065 · 768,078 · 896,091 · 1,024,104 · 1,152,117 · 1,280,130

Sums & aliquot sequence

As consecutive integers: 64,006 + 64,007 42,670 + 42,671 + 42,672 21,333 + 21,334 + 21,335 + 21,336 + 21,337 + 21,338 1,768 + 1,769 + … + 1,838
Aliquot sequence: 128,013 45,363 15,125 5,623 1 0 — terminates at zero

Continued fraction of √n

√128,013 = [357; (1, 3, 1, 2, 1, 5, 1, 2, 2, 4, 7, 1, 1, 4, 3, 3, 3, 1, 1, 59, 15, 4, 1, 4, …)]

Representations

In words
one hundred twenty-eight thousand thirteen
Ordinal
128013th
Binary
11111010000001101
Octal
372015
Hexadecimal
0x1F40D
Base64
AfQN
One's complement
4,294,839,282 (32-bit)
Scientific notation
1.28013 × 10⁵
As a duration
128,013 s = 1 day, 11 hours, 33 minutes, 33 seconds
In other bases
ternary (3) 20111121020
quaternary (4) 133100031
quinary (5) 13044023
senary (6) 2424353
septenary (7) 1042134
nonary (9) 214536
undecimal (11) 881a6
duodecimal (12) 620b9
tridecimal (13) 46362
tetradecimal (14) 3491b
pentadecimal (15) 27de3

As an angle

128,013° = 355 × 360° + 213°
213° ≈ 3.718 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκηιγʹ
Mayan (base 20)
𝋰·𝋠·𝋠·𝋭
Chinese
一十二萬八千零一十三
Chinese (financial)
壹拾貳萬捌仟零壹拾參
In other modern scripts
Eastern Arabic ١٢٨٠١٣ Devanagari १२८०१३ Bengali ১২৮০১৩ Tamil ௧௨௮௦௧௩ Thai ๑๒๘๐๑๓ Tibetan ༡༢༨༠༡༣ Khmer ១២៨០១៣ Lao ໑໒໘໐໑໓ Burmese ၁၂၈၀၁၃

Also seen as

Unicode codepoint
🐍
Snake
U+1F40D
Other symbol (So)

UTF-8 encoding: F0 9F 90 8D (4 bytes).

Hex color
#01F40D
RGB(1, 244, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.13.

Address
0.1.244.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.13

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 128,013 and was likely granted around 1872.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.