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122,263

122,263 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.).

122,263 (one hundred twenty-two thousand two hundred sixty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DD97.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
144
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
362,221
Square (n²)
14,948,241,169
Cube (n³)
1,827,616,810,045,447
Divisor count
2
σ(n) — sum of divisors
122,264
φ(n) — Euler's totient
122,262

Primality

122,263 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122263
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,263)
1 × 122263
First multiples
122,263 · 244,526 (double) · 366,789 · 489,052 · 611,315 · 733,578 · 855,841 · 978,104 · 1,100,367 · 1,222,630

Sums & aliquot sequence

As consecutive integers: 61,131 + 61,132

Continued fraction of √n

√122,263 = [349; (1, 1, 1, 19, 1, 9, 5, 2, 4, 2, 7, 1, 2, 6, 1, 6, 3, 1, 2, 11, 1, 9, 1, 2, …)]

Representations

In words
one hundred twenty-two thousand two hundred sixty-three
Ordinal
122263rd
Binary
11101110110010111
Octal
356627
Hexadecimal
0x1DD97
Base64
Ad2X
One's complement
4,294,845,032 (32-bit)
Scientific notation
1.22263 × 10⁵
As a duration
122,263 s = 1 day, 9 hours, 57 minutes, 43 seconds
In other bases
ternary (3) 20012201021
quaternary (4) 131312113
quinary (5) 12403023
senary (6) 2342011
septenary (7) 1016311
nonary (9) 205637
undecimal (11) 83949
duodecimal (12) 5a907
tridecimal (13) 4385b
tetradecimal (14) 327b1
pentadecimal (15) 2635d

As an angle

122,263° = 339 × 360° + 223°
223° ≈ 3.892 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκβσξγʹ
Mayan (base 20)
𝋯·𝋥·𝋭·𝋣
Chinese
一十二萬二千二百六十三
Chinese (financial)
壹拾貳萬貳仟貳佰陸拾參
In other modern scripts
Eastern Arabic ١٢٢٢٦٣ Devanagari १२२२६३ Bengali ১২২২৬৩ Tamil ௧௨௨௨௬௩ Thai ๑๒๒๒๖๓ Tibetan ༡༢༢༢༦༣ Khmer ១២២២៦៣ Lao ໑໒໒໒໖໓ Burmese ၁၂၂၂၆၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 122267.

Hex color
#01DD97
RGB(1, 221, 151)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.151.

Address
0.1.221.151
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.151

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 122,263 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 122263 first appears in π at position 715,908 of the decimal expansion (the 715,908ordinal-suffix:th 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.