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1,010,353

1,010,353 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.).

1,010,353 (one million ten thousand three hundred fifty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF6AB1.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
3,530,101
Square (n²)
1,020,813,184,609
Cube (n³)
1,031,381,663,509,256,977
Divisor count
2
σ(n) — sum of divisors
1,010,354
φ(n) — Euler's totient
1,010,352

Primality

1,010,353 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1010353
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,010,353)
1 × 1010353
First multiples
1,010,353 · 2,020,706 (double) · 3,031,059 · 4,041,412 · 5,051,765 · 6,062,118 · 7,072,471 · 8,082,824 · 9,093,177 · 10,103,530

Sums & aliquot sequence

As a sum of two squares: 348² + 943²
As consecutive integers: 505,176 + 505,177

Continued fraction of √n

√1,010,353 = [1005; (6, 7, 1, 3, 1, 1, 7, 1, 1, 4, 1, 1, 2, 14, 1, 2, 1, 1, 1, 1, 3, 4, 1, 11, …)]

Representations

In words
one million ten thousand three hundred fifty-three
Ordinal
1010353rd
Binary
11110110101010110001
Octal
3665261
Hexadecimal
0xF6AB1
Base64
D2qx
One's complement
4,293,956,942 (32-bit)
Scientific notation
1.010353 × 10⁶
As a duration
1,010,353 s = 11 days, 16 hours, 39 minutes, 13 seconds
In other bases
ternary (3) 1220022221111
quaternary (4) 3312222301
quinary (5) 224312403
senary (6) 33353321
septenary (7) 11405431
nonary (9) 1808844
undecimal (11) 630103
duodecimal (12) 408841
tridecimal (13) 294b56
tetradecimal (14) 1c42c1
pentadecimal (15) 14e56d

As an angle

1,010,353° = 2,806 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百零一萬零三百五十三
Chinese (financial)
壹佰零壹萬零參佰伍拾參
In other modern scripts
Eastern Arabic ١٠١٠٣٥٣ Devanagari १०१०३५३ Bengali ১০১০৩৫৩ Tamil ௧௦௧௦௩௫௩ Thai ๑๐๑๐๓๕๓ Tibetan ༡༠༡༠༣༥༣ Khmer ១០១០៣៥៣ Lao ໑໐໑໐໓໕໓ Burmese ၁၀၁၀၃၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 1010357.

Hex color
#0F6AB1
RGB(15, 106, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.106.177.

Address
0.15.106.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.106.177

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 0353 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0353-10-01 (MMDYYYY (US, single-digit day))
  • 0353-01-10 (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 1,010,353 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.