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106,013

106,013 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.).

106,013 (one hundred six thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x19E1D.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
310,601
Recamán's sequence
a(89,145) = 106,013
Square (n²)
11,238,756,169
Cube (n³)
1,191,454,257,744,197
Divisor count
2
σ(n) — sum of divisors
106,014
φ(n) — Euler's totient
106,012

Primality

106,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 106013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 106,013)
1 × 106013
First multiples
106,013 · 212,026 (double) · 318,039 · 424,052 · 530,065 · 636,078 · 742,091 · 848,104 · 954,117 · 1,060,130

Sums & aliquot sequence

As a sum of two squares: 142² + 293²
As consecutive integers: 53,006 + 53,007

Continued fraction of √n

√106,013 = [325; (1, 1, 2, 10, 1, 1, 1, 3, 9, 3, 3, 3, 6, 6, 1, 11, 2, 2, 1, 8, 2, 5, 1, 1, …)]

Representations

In words
one hundred six thousand thirteen
Ordinal
106013th
Binary
11001111000011101
Octal
317035
Hexadecimal
0x19E1D
Base64
AZ4d
One's complement
4,294,861,282 (32-bit)
Scientific notation
1.06013 × 10⁵
As a duration
106,013 s = 1 day, 5 hours, 26 minutes, 53 seconds
In other bases
ternary (3) 12101102102
quaternary (4) 121320131
quinary (5) 11343023
senary (6) 2134445
septenary (7) 621035
nonary (9) 171372
undecimal (11) 72716
duodecimal (12) 51425
tridecimal (13) 3933b
tetradecimal (14) 2a8c5
pentadecimal (15) 21628

As an angle

106,013° = 294 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρϛιγʹ
Mayan (base 20)
𝋭·𝋥·𝋠·𝋭
Chinese
一十萬六千零一十三
Chinese (financial)
壹拾萬陸仟零壹拾參
In other modern scripts
Eastern Arabic ١٠٦٠١٣ Devanagari १०६०१३ Bengali ১০৬০১৩ Tamil ௧௦௬௦௧௩ Thai ๑๐๖๐๑๓ Tibetan ༡༠༦༠༡༣ Khmer ១០៦០១៣ Lao ໑໐໖໐໑໓ Burmese ၁၀၆၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 106019.

Hex color
#019E1D
RGB(1, 158, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.29.

Address
0.1.158.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.158.29

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 106,013 and was likely granted around 1870.

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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.