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122,251

122,251 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.).

122,251 (one hundred twenty-two thousand two hundred fifty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DD8B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
40
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
152,221
Square (n²)
14,945,307,001
Cube (n³)
1,827,078,726,179,251
Divisor count
2
σ(n) — sum of divisors
122,252
φ(n) — Euler's totient
122,250

Primality

122,251 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122251
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,251)
1 × 122251
First multiples
122,251 · 244,502 (double) · 366,753 · 489,004 · 611,255 · 733,506 · 855,757 · 978,008 · 1,100,259 · 1,222,510

Sums & aliquot sequence

As consecutive integers: 61,125 + 61,126

Continued fraction of √n

√122,251 = [349; (1, 1, 1, 4, 3, 1, 7, 139, 1, 2, 1, 2, 4, 1, 38, 27, 1, 17, 2, 3, 1, 1, 7, 4, …)]

Representations

In words
one hundred twenty-two thousand two hundred fifty-one
Ordinal
122251st
Binary
11101110110001011
Octal
356613
Hexadecimal
0x1DD8B
Base64
Ad2L
One's complement
4,294,845,044 (32-bit)
Scientific notation
1.22251 × 10⁵
As a duration
122,251 s = 1 day, 9 hours, 57 minutes, 31 seconds
In other bases
ternary (3) 20012200211
quaternary (4) 131312023
quinary (5) 12403001
senary (6) 2341551
septenary (7) 1016263
nonary (9) 205624
undecimal (11) 83938
duodecimal (12) 5a8b7
tridecimal (13) 4384c
tetradecimal (14) 327a3
pentadecimal (15) 26351
Palindromic in base 11

As an angle

122,251° = 339 × 360° + 211°
211° ≈ 3.683 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκβσναʹ
Mayan (base 20)
𝋯·𝋥·𝋬·𝋫
Chinese
一十二萬二千二百五十一
Chinese (financial)
壹拾貳萬貳仟貳佰伍拾壹
In other modern scripts
Eastern Arabic ١٢٢٢٥١ Devanagari १२२२५१ Bengali ১২২২৫১ Tamil ௧௨௨௨௫௧ Thai ๑๒๒๒๕๑ Tibetan ༡༢༢༢༥༡ Khmer ១២២២៥១ Lao ໑໒໒໒໕໑ Burmese ၁၂၂၂၅၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01DD8B
RGB(1, 221, 139)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.139.

Address
0.1.221.139
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.139

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 122,251 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.