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123,701

123,701 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.).

123,701 (one hundred twenty-three thousand seven hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E335.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
107,321
Square (n²)
15,301,937,401
Cube (n³)
1,892,864,958,441,101
Divisor count
2
σ(n) — sum of divisors
123,702
φ(n) — Euler's totient
123,700

Primality

123,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 123701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 123,701)
1 × 123701
First multiples
123,701 · 247,402 (double) · 371,103 · 494,804 · 618,505 · 742,206 · 865,907 · 989,608 · 1,113,309 · 1,237,010

Sums & aliquot sequence

As a sum of two squares: 199² + 290²
As consecutive integers: 61,850 + 61,851

Continued fraction of √n

√123,701 = [351; (1, 2, 2, 6, 1, 40, 1, 1, 19, 1, 1, 2, 4, 2, 4, 1, 5, 4, 24, 1, 7, 1, 1, 16, …)]

Representations

In words
one hundred twenty-three thousand seven hundred one
Ordinal
123701st
Binary
11110001100110101
Octal
361465
Hexadecimal
0x1E335
Base64
AeM1
One's complement
4,294,843,594 (32-bit)
Scientific notation
1.23701 × 10⁵
As a duration
123,701 s = 1 day, 10 hours, 21 minutes, 41 seconds
In other bases
ternary (3) 20021200112
quaternary (4) 132030311
quinary (5) 12424301
senary (6) 2352405
septenary (7) 1023434
nonary (9) 207615
undecimal (11) 84a36
duodecimal (12) 5b705
tridecimal (13) 443c6
tetradecimal (14) 3311b
pentadecimal (15) 269bb

As an angle

123,701° = 343 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρκγψαʹ
Mayan (base 20)
𝋯·𝋩·𝋥·𝋡
Chinese
一十二萬三千七百零一
Chinese (financial)
壹拾貳萬參仟柒佰零壹
In other modern scripts
Eastern Arabic ١٢٣٧٠١ Devanagari १२३७०१ Bengali ১২৩৭০১ Tamil ௧௨௩௭௦௧ Thai ๑๒๓๗๐๑ Tibetan ༡༢༣༧༠༡ Khmer ១២៣៧០១ Lao ໑໒໓໗໐໑ Burmese ၁၂၃၇၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 123707.

Hex color
#01E335
RGB(1, 227, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.227.53.

Address
0.1.227.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.227.53

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 123,701 and was likely granted around 1871.

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

Position in π

The digit sequence 123701 first appears in π at position 535,662 of the decimal expansion (the 535,662ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.