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122,029

122,029 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.).

122,029 (one hundred twenty-two thousand twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DCAD.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
920,221
Square (n²)
14,891,076,841
Cube (n³)
1,817,143,215,830,389
Divisor count
2
σ(n) — sum of divisors
122,030
φ(n) — Euler's totient
122,028

Primality

122,029 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122029
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,029)
1 × 122029
First multiples
122,029 · 244,058 (double) · 366,087 · 488,116 · 610,145 · 732,174 · 854,203 · 976,232 · 1,098,261 · 1,220,290

Sums & aliquot sequence

As a sum of two squares: 202² + 285²
As consecutive integers: 61,014 + 61,015

Continued fraction of √n

√122,029 = [349; (3, 15, 1, 10, 1, 2, 2, 1, 1, 7, 3, 1, 4, 2, 2, 1, 1, 11, 1, 2, 19, 15, 2, 9, …)]

Representations

In words
one hundred twenty-two thousand twenty-nine
Ordinal
122029th
Binary
11101110010101101
Octal
356255
Hexadecimal
0x1DCAD
Base64
Adyt
One's complement
4,294,845,266 (32-bit)
Scientific notation
1.22029 × 10⁵
As a duration
122,029 s = 1 day, 9 hours, 53 minutes, 49 seconds
In other bases
ternary (3) 20012101121
quaternary (4) 131302231
quinary (5) 12401104
senary (6) 2340541
septenary (7) 1015525
nonary (9) 205347
undecimal (11) 83756
duodecimal (12) 5a751
tridecimal (13) 4370b
tetradecimal (14) 32685
pentadecimal (15) 26254

As an angle

122,029° = 338 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβκθʹ
Mayan (base 20)
𝋯·𝋥·𝋡·𝋩
Chinese
一十二萬二千零二十九
Chinese (financial)
壹拾貳萬貳仟零貳拾玖
In other modern scripts
Eastern Arabic ١٢٢٠٢٩ Devanagari १२२०२९ Bengali ১২২০২৯ Tamil ௧௨௨௦௨௯ Thai ๑๒๒๐๒๙ Tibetan ༡༢༢༠༢༩ Khmer ១២២០២៩ Lao ໑໒໒໐໒໙ Burmese ၁၂၂၀၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122027, cousin with 122033.

Hex color
#01DCAD
RGB(1, 220, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.173.

Address
0.1.220.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.173

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 122,029 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 122029 first appears in π at position 654,409 of the decimal expansion (the 654,409ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.