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122,387

122,387 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.).

122,387 (one hundred twenty-two thousand three hundred eighty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DE13.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
672
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
783,221
Square (n²)
14,978,577,769
Cube (n³)
1,833,183,197,414,603
Divisor count
2
σ(n) — sum of divisors
122,388
φ(n) — Euler's totient
122,386

Primality

122,387 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122387
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,387)
1 × 122387
First multiples
122,387 · 244,774 (double) · 367,161 · 489,548 · 611,935 · 734,322 · 856,709 · 979,096 · 1,101,483 · 1,223,870

Sums & aliquot sequence

As consecutive integers: 61,193 + 61,194

Continued fraction of √n

√122,387 = [349; (1, 5, 5, 5, 1, 2, 1, 3, 1, 2, 4, 1, 2, 12, 1, 5, 2, 40, 1, 2, 3, 2, 2, 6, …)]

Representations

In words
one hundred twenty-two thousand three hundred eighty-seven
Ordinal
122387th
Binary
11101111000010011
Octal
357023
Hexadecimal
0x1DE13
Base64
Ad4T
One's complement
4,294,844,908 (32-bit)
Scientific notation
1.22387 × 10⁵
As a duration
122,387 s = 1 day, 9 hours, 59 minutes, 47 seconds
In other bases
ternary (3) 20012212212
quaternary (4) 131320103
quinary (5) 12404022
senary (6) 2342335
septenary (7) 1016546
nonary (9) 205785
undecimal (11) 83a51
duodecimal (12) 5a9ab
tridecimal (13) 43925
tetradecimal (14) 3285d
pentadecimal (15) 263e2

As an angle

122,387° = 339 × 360° + 347°
347° ≈ 6.056 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβτπζʹ
Mayan (base 20)
𝋯·𝋥·𝋳·𝋧
Chinese
一十二萬二千三百八十七
Chinese (financial)
壹拾貳萬貳仟參佰捌拾柒
In other modern scripts
Eastern Arabic ١٢٢٣٨٧ Devanagari १२२३८७ Bengali ১২২৩৮৭ Tamil ௧௨௨௩௮௭ Thai ๑๒๒๓๘๗ Tibetan ༡༢༢༣༨༧ Khmer ១២២៣៨៧ Lao ໑໒໒໓໘໗ Burmese ၁၂၂၃၈၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122389.

Hex color
#01DE13
RGB(1, 222, 19)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.19.

Address
0.1.222.19
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.19

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 122,387 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 122387 first appears in π at position 303,409 of the decimal expansion (the 303,409ordinal-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.