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1,016,201

1,016,201 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.).

1,016,201 (one million sixteen thousand two hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF8189.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,026,101
Square (n²)
1,032,664,472,401
Cube (n³)
1,049,394,669,518,368,601
Divisor count
2
σ(n) — sum of divisors
1,016,202
φ(n) — Euler's totient
1,016,200

Primality

1,016,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1016201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,016,201)
1 × 1016201
First multiples
1,016,201 · 2,032,402 (double) · 3,048,603 · 4,064,804 · 5,081,005 · 6,097,206 · 7,113,407 · 8,129,608 · 9,145,809 · 10,162,010

Sums & aliquot sequence

As a sum of two squares: 340² + 949²
As consecutive integers: 508,100 + 508,101

Continued fraction of √n

√1,016,201 = [1008; (14, 1, 2, 1, 1, 12, 1, 2, 4, 5, 3, 2, 2, 4, 50, 5, 1, 1, 1, 14, 1, 1, 20, 1, …)]

Representations

In words
one million sixteen thousand two hundred one
Ordinal
1016201st
Binary
11111000000110001001
Octal
3700611
Hexadecimal
0xF8189
Base64
D4GJ
One's complement
4,293,951,094 (32-bit)
Scientific notation
1.016201 × 10⁶
As a duration
1,016,201 s = 11 days, 18 hours, 16 minutes, 41 seconds
In other bases
ternary (3) 1220121222002
quaternary (4) 3320012021
quinary (5) 230004301
senary (6) 33440345
septenary (7) 11431454
nonary (9) 1817862
undecimal (11) 63453a
duodecimal (12) 4100b5
tridecimal (13) 297704
tetradecimal (14) 1c649b
pentadecimal (15) 15116b

As an angle

1,016,201° = 2,822 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Chinese
一百零一萬六千二百零一
Chinese (financial)
壹佰零壹萬陸仟貳佰零壹
In other modern scripts
Eastern Arabic ١٠١٦٢٠١ Devanagari १०१६२०१ Bengali ১০১৬২০১ Tamil ௧௦௧௬௨௦௧ Thai ๑๐๑๖๒๐๑ Tibetan ༡༠༡༦༢༠༡ Khmer ១០១៦២០១ Lao ໑໐໑໖໒໐໑ Burmese ၁၀၁၆၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1016203.

Hex color
#0F8189
RGB(15, 129, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.137.

Address
0.15.129.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.129.137

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 6201 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 6201-10-01 (MMDYYYY (US, single-digit day))
  • 6201-01-10 (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 1,016,201 and was likely granted around 1911.

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.