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1,028,101

1,028,101 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.).

1,028,101 (one million twenty-eight thousand one hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFB005.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,018,201
Square (n²)
1,056,991,666,201
Cube (n³)
1,086,694,189,012,914,301
Divisor count
2
σ(n) — sum of divisors
1,028,102
φ(n) — Euler's totient
1,028,100

Primality

1,028,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1028101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,028,101)
1 × 1028101
First multiples
1,028,101 · 2,056,202 (double) · 3,084,303 · 4,112,404 · 5,140,505 · 6,168,606 · 7,196,707 · 8,224,808 · 9,252,909 · 10,281,010

Sums & aliquot sequence

As a sum of two squares: 655² + 774²
As consecutive integers: 514,050 + 514,051

Continued fraction of √n

√1,028,101 = [1013; (1, 20, 2, 1, 7, 1, 1, 6, 31, 22, 96, 1, 1, 11, 11, 1, 2, 2, 1, 2, 2, 2, 3, 1, …)]

Representations

In words
one million twenty-eight thousand one hundred one
Ordinal
1028101st
Binary
11111011000000000101
Octal
3730005
Hexadecimal
0xFB005
Base64
D7AF
One's complement
4,293,939,194 (32-bit)
Scientific notation
1.028101 × 10⁶
As a duration
1,028,101 s = 11 days, 21 hours, 35 minutes, 1 second
In other bases
ternary (3) 1221020021211
quaternary (4) 3323000011
quinary (5) 230344401
senary (6) 34011421
septenary (7) 11511244
nonary (9) 1836254
undecimal (11) 642478
duodecimal (12) 416b71
tridecimal (13) 29cc59
tetradecimal (14) 1ca95b
pentadecimal (15) 154951

As an angle

1,028,101° = 2,855 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Chinese
一百零二萬八千一百零一
Chinese (financial)
壹佰零貳萬捌仟壹佰零壹
In other modern scripts
Eastern Arabic ١٠٢٨١٠١ Devanagari १०२८१०१ Bengali ১০২৮১০১ Tamil ௧௦௨௮௧௦௧ Thai ๑๐๒๘๑๐๑ Tibetan ༡༠༢༨༡༠༡ Khmer ១០២៨១០១ Lao ໑໐໒໘໑໐໑ Burmese ၁၀၂၈၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1028099, sexy with 1028107.

Hex color
#0FB005
RGB(15, 176, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.176.5.

Address
0.15.176.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.176.5

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 8101 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8101-02-01 (DMMYYYY (Euro, single-digit day))
  • 8101-10-02 (MMDYYYY (US, single-digit day))
  • 8101-02-10 (DDMYYYY (Euro, single-digit month))
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 1,028,101 and was likely granted around 1912.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.