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122,701

122,701 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.).

122,701 (one hundred twenty-two thousand seven hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DF4D.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
107,221
Recamán's sequence
a(30,282) = 122,701
Square (n²)
15,055,535,401
Cube (n³)
1,847,329,249,238,101
Divisor count
2
σ(n) — sum of divisors
122,702
φ(n) — Euler's totient
122,700

Primality

122,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,701)
1 × 122701
First multiples
122,701 · 245,402 (double) · 368,103 · 490,804 · 613,505 · 736,206 · 858,907 · 981,608 · 1,104,309 · 1,227,010

Sums & aliquot sequence

As a sum of two squares: 30² + 349²
As consecutive integers: 61,350 + 61,351

Continued fraction of √n

√122,701 = [350; (3, 2, 15, 7, 6, 2, 1, 8, 1, 1, 1, 11, 46, 1, 1, 1, 1, 1, 2, 25, 1, 1, 3, 3, …)]

Representations

In words
one hundred twenty-two thousand seven hundred one
Ordinal
122701st
Binary
11101111101001101
Octal
357515
Hexadecimal
0x1DF4D
Base64
Ad9N
One's complement
4,294,844,594 (32-bit)
Scientific notation
1.22701 × 10⁵
As a duration
122,701 s = 1 day, 10 hours, 5 minutes, 1 second
In other bases
ternary (3) 20020022111
quaternary (4) 131331031
quinary (5) 12411301
senary (6) 2344021
septenary (7) 1020505
nonary (9) 206274
undecimal (11) 84207
duodecimal (12) 5b011
tridecimal (13) 43b07
tetradecimal (14) 32a05
pentadecimal (15) 26551

As an angle

122,701° = 340 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρκβψαʹ
Mayan (base 20)
𝋯·𝋦·𝋯·𝋡
Chinese
一十二萬二千七百零一
Chinese (financial)
壹拾貳萬貳仟柒佰零壹
In other modern scripts
Eastern Arabic ١٢٢٧٠١ Devanagari १२२७०१ Bengali ১২২৭০১ Tamil ௧௨௨௭௦௧ Thai ๑๒๒๗๐๑ Tibetan ༡༢༢༧༠༡ Khmer ១២២៧០១ Lao ໑໒໒໗໐໑ Burmese ၁၂၂၇၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01DF4D
RGB(1, 223, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.77.

Address
0.1.223.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.77

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 122,701 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.