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122,509

122,509 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.).

122,509 (one hundred twenty-two thousand five hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DE8D.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
905,221
Recamán's sequence
a(30,058) = 122,509
Square (n²)
15,008,455,081
Cube (n³)
1,838,670,823,518,229
Divisor count
2
σ(n) — sum of divisors
122,510
φ(n) — Euler's totient
122,508

Primality

122,509 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122509
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,509)
1 × 122509
First multiples
122,509 · 245,018 (double) · 367,527 · 490,036 · 612,545 · 735,054 · 857,563 · 980,072 · 1,102,581 · 1,225,090

Sums & aliquot sequence

As a sum of two squares: 3² + 350²
As consecutive integers: 61,254 + 61,255

Continued fraction of √n

√122,509 = [350; (77, 1, 3, 1, 1, 8, 11, 1, 1, 4, 2, 11, 4, 1, 1, 1, 1, 3, 10, 2, 32, 1, 6, 33, …)]

Representations

In words
one hundred twenty-two thousand five hundred nine
Ordinal
122509th
Binary
11101111010001101
Octal
357215
Hexadecimal
0x1DE8D
Base64
Ad6N
One's complement
4,294,844,786 (32-bit)
Scientific notation
1.22509 × 10⁵
As a duration
122,509 s = 1 day, 10 hours, 1 minute, 49 seconds
In other bases
ternary (3) 20020001101
quaternary (4) 131322031
quinary (5) 12410014
senary (6) 2343101
septenary (7) 1020112
nonary (9) 206041
undecimal (11) 84052
duodecimal (12) 5aa91
tridecimal (13) 439ba
tetradecimal (14) 32909
pentadecimal (15) 26474

As an angle

122,509° = 340 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβφθʹ
Mayan (base 20)
𝋯·𝋦·𝋥·𝋩
Chinese
一十二萬二千五百零九
Chinese (financial)
壹拾貳萬貳仟伍佰零玖
In other modern scripts
Eastern Arabic ١٢٢٥٠٩ Devanagari १२२५०९ Bengali ১২২৫০৯ Tamil ௧௨௨௫௦௯ Thai ๑๒๒๕๐๙ Tibetan ༡༢༢༥༠༩ Khmer ១២២៥០៩ Lao ໑໒໒໕໐໙ Burmese ၁၂၂၅၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 122503.

Hex color
#01DE8D
RGB(1, 222, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.141.

Address
0.1.222.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.141

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 122,509 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 122509 first appears in π at position 810,373 of the decimal expansion (the 810,373ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.