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122,401

122,401 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.).

122,401 (one hundred twenty-two thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DE21.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
104,221
Square (n²)
14,982,004,801
Cube (n³)
1,833,812,369,647,201
Divisor count
2
σ(n) — sum of divisors
122,402
φ(n) — Euler's totient
122,400

Primality

122,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,401)
1 × 122401
First multiples
122,401 · 244,802 (double) · 367,203 · 489,604 · 612,005 · 734,406 · 856,807 · 979,208 · 1,101,609 · 1,224,010

Sums & aliquot sequence

As a sum of two squares: 215² + 276²
As consecutive integers: 61,200 + 61,201

Continued fraction of √n

√122,401 = [349; (1, 6, 14, 2, 3, 3, 7, 1, 12, 1, 5, 3, 1, 3, 1, 1, 1, 3, 1, 1, 2, 46, 3, 1, …)]

Representations

In words
one hundred twenty-two thousand four hundred one
Ordinal
122401st
Binary
11101111000100001
Octal
357041
Hexadecimal
0x1DE21
Base64
Ad4h
One's complement
4,294,844,894 (32-bit)
Scientific notation
1.22401 × 10⁵
As a duration
122,401 s = 1 day, 10 hours, 1 second
In other bases
ternary (3) 20012220101
quaternary (4) 131320201
quinary (5) 12404101
senary (6) 2342401
septenary (7) 1016566
nonary (9) 205811
undecimal (11) 83a64
duodecimal (12) 5aa01
tridecimal (13) 43936
tetradecimal (14) 3286d
pentadecimal (15) 26401

As an angle

122,401° = 340 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρκβυαʹ
Mayan (base 20)
𝋯·𝋦·𝋠·𝋡
Chinese
一十二萬二千四百零一
Chinese (financial)
壹拾貳萬貳仟肆佰零壹
In other modern scripts
Eastern Arabic ١٢٢٤٠١ Devanagari १२२४०१ Bengali ১২২৪০১ Tamil ௧௨௨௪௦௧ Thai ๑๒๒๔๐๑ Tibetan ༡༢༢༤༠༡ Khmer ១២២៤០១ Lao ໑໒໒໔໐໑ Burmese ၁၂၂၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122399.

Hex color
#01DE21
RGB(1, 222, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.33.

Address
0.1.222.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.33

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 122,401 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.