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122,273

122,273 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.).

122,273 (one hundred twenty-two thousand two hundred seventy-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DDA1.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
168
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
372,221
Square (n²)
14,950,686,529
Cube (n³)
1,828,065,293,960,417
Divisor count
2
σ(n) — sum of divisors
122,274
φ(n) — Euler's totient
122,272

Primality

122,273 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122273
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,273)
1 × 122273
First multiples
122,273 · 244,546 (double) · 366,819 · 489,092 · 611,365 · 733,638 · 855,911 · 978,184 · 1,100,457 · 1,222,730

Sums & aliquot sequence

As a sum of two squares: 68² + 343²
As consecutive integers: 61,136 + 61,137

Continued fraction of √n

√122,273 = [349; (1, 2, 12, 6, 2, 5, 22, 2, 1, 1, 1, 8, 1, 20, 1, 23, 6, 4, 1, 15, 2, 5, 2, 1, …)]

Period length 55 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand two hundred seventy-three
Ordinal
122273rd
Binary
11101110110100001
Octal
356641
Hexadecimal
0x1DDA1
Base64
Ad2h
One's complement
4,294,845,022 (32-bit)
Scientific notation
1.22273 × 10⁵
As a duration
122,273 s = 1 day, 9 hours, 57 minutes, 53 seconds
In other bases
ternary (3) 20012201122
quaternary (4) 131312201
quinary (5) 12403043
senary (6) 2342025
septenary (7) 1016324
nonary (9) 205648
undecimal (11) 83958
duodecimal (12) 5a915
tridecimal (13) 43868
tetradecimal (14) 327bb
pentadecimal (15) 26368

As an angle

122,273° = 339 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκβσογʹ
Mayan (base 20)
𝋯·𝋥·𝋭·𝋭
Chinese
一十二萬二千二百七十三
Chinese (financial)
壹拾貳萬貳仟貳佰柒拾參
In other modern scripts
Eastern Arabic ١٢٢٢٧٣ Devanagari १२२२७३ Bengali ১২২২৭৩ Tamil ௧௨௨௨௭௩ Thai ๑๒๒๒๗๓ Tibetan ༡༢༢༢༧༣ Khmer ១២២២៧៣ Lao ໑໒໒໒໗໓ Burmese ၁၂၂၂၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 122267, sexy with 122279.

Hex color
#01DDA1
RGB(1, 221, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.161.

Address
0.1.221.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.161

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 122,273 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 122273 first appears in π at position 287,743 of the decimal expansion (the 287,743ordinal-suffix:rd 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.