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123,001

123,001 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.).

123,001 (one hundred twenty-three thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E079.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
100,321
Square (n²)
15,129,246,001
Cube (n³)
1,860,912,387,369,001
Divisor count
2
σ(n) — sum of divisors
123,002
φ(n) — Euler's totient
123,000

Primality

123,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 123001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 123,001)
1 × 123001
First multiples
123,001 · 246,002 (double) · 369,003 · 492,004 · 615,005 · 738,006 · 861,007 · 984,008 · 1,107,009 · 1,230,010

Sums & aliquot sequence

As a sum of two squares: 180² + 301²
As consecutive integers: 61,500 + 61,501

Continued fraction of √n

√123,001 = [350; (1, 2, 1, 1, 28, 1, 1, 1, 8, 1, 2, 4, 1, 1, 9, 5, 4, 233, 1, 1, 2, 1, 86, 1, …)]

Representations

In words
one hundred twenty-three thousand one
Ordinal
123001st
Binary
11110000001111001
Octal
360171
Hexadecimal
0x1E079
Base64
AeB5
One's complement
4,294,844,294 (32-bit)
Scientific notation
1.23001 × 10⁵
As a duration
123,001 s = 1 day, 10 hours, 10 minutes, 1 second
In other bases
ternary (3) 20020201121
quaternary (4) 132001321
quinary (5) 12414001
senary (6) 2345241
septenary (7) 1021414
nonary (9) 206647
undecimal (11) 8445a
duodecimal (12) 5b221
tridecimal (13) 43ca8
tetradecimal (14) 32b7b
pentadecimal (15) 266a1

As an angle

123,001° = 341 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ρκγαʹ
Mayan (base 20)
𝋯·𝋧·𝋪·𝋡
Chinese
一十二萬三千零一
Chinese (financial)
壹拾貳萬參仟零壹
In other modern scripts
Eastern Arabic ١٢٣٠٠١ Devanagari १२३००१ Bengali ১২৩০০১ Tamil ௧௨௩௦௦௧ Thai ๑๒๓๐๐๑ Tibetan ༡༢༣༠༠༡ Khmer ១២៣០០១ Lao ໑໒໓໐໐໑ Burmese ၁၂၃၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 123007.

Hex color
#01E079
RGB(1, 224, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.121.

Address
0.1.224.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.224.121

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 123,001 and was likely granted around 1871.

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.