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122,789

122,789 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.).

122,789 (one hundred twenty-two thousand seven hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DFA5.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
2,016
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
987,221
Square (n²)
15,077,138,521
Cube (n³)
1,851,306,761,855,069
Divisor count
2
σ(n) — sum of divisors
122,790
φ(n) — Euler's totient
122,788

Primality

122,789 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122789
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,789)
1 × 122789
First multiples
122,789 · 245,578 (double) · 368,367 · 491,156 · 613,945 · 736,734 · 859,523 · 982,312 · 1,105,101 · 1,227,890

Sums & aliquot sequence

As a sum of two squares: 17² + 350²
As consecutive integers: 61,394 + 61,395

Continued fraction of √n

√122,789 = [350; (2, 2, 2, 1, 3, 2, 1, 2, 2, 10, 2, 1, 3, 2, 7, 1, 4, 8, 24, 1, 9, 1, 4, 1, …)]

Representations

In words
one hundred twenty-two thousand seven hundred eighty-nine
Ordinal
122789th
Binary
11101111110100101
Octal
357645
Hexadecimal
0x1DFA5
Base64
Ad+l
One's complement
4,294,844,506 (32-bit)
Scientific notation
1.22789 × 10⁵
As a duration
122,789 s = 1 day, 10 hours, 6 minutes, 29 seconds
In other bases
ternary (3) 20020102202
quaternary (4) 131332211
quinary (5) 12412124
senary (6) 2344245
septenary (7) 1020662
nonary (9) 206382
undecimal (11) 84287
duodecimal (12) 5b085
tridecimal (13) 43b74
tetradecimal (14) 32a69
pentadecimal (15) 265ae

As an angle

122,789° = 341 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβψπθʹ
Mayan (base 20)
𝋯·𝋦·𝋳·𝋩
Chinese
一十二萬二千七百八十九
Chinese (financial)
壹拾貳萬貳仟柒佰捌拾玖
In other modern scripts
Eastern Arabic ١٢٢٧٨٩ Devanagari १२२७८९ Bengali ১২২৭৮৯ Tamil ௧௨௨௭௮௯ Thai ๑๒๒๗๘๙ Tibetan ༡༢༢༧༨༩ Khmer ១២២៧៨៩ Lao ໑໒໒໗໘໙ Burmese ၁၂၂၇၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01DFA5
RGB(1, 223, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.165.

Address
0.1.223.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.165

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 122,789 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 122789 first appears in π at position 725,264 of the decimal expansion (the 725,264ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.