number.wiki
Live analysis

122,533

122,533 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.).

122,533 (one hundred twenty-two thousand five hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DEA5.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
180
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
335,221
Recamán's sequence
a(30,106) = 122,533
Square (n²)
15,014,336,089
Cube (n³)
1,839,751,643,993,437
Divisor count
2
σ(n) — sum of divisors
122,534
φ(n) — Euler's totient
122,532

Primality

122,533 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122533
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,533)
1 × 122533
First multiples
122,533 · 245,066 (double) · 367,599 · 490,132 · 612,665 · 735,198 · 857,731 · 980,264 · 1,102,797 · 1,225,330

Sums & aliquot sequence

As a sum of two squares: 177² + 302²
As consecutive integers: 61,266 + 61,267

Continued fraction of √n

√122,533 = [350; (21, 4, 1, 2, 6, 1, 1, 2, 1, 5, 2, 11, 58, 3, 1, 15, 6, 4, 9, 1, 1, 1, 1, 1, …)]

Representations

In words
one hundred twenty-two thousand five hundred thirty-three
Ordinal
122533rd
Binary
11101111010100101
Octal
357245
Hexadecimal
0x1DEA5
Base64
Ad6l
One's complement
4,294,844,762 (32-bit)
Scientific notation
1.22533 × 10⁵
As a duration
122,533 s = 1 day, 10 hours, 2 minutes, 13 seconds
In other bases
ternary (3) 20020002021
quaternary (4) 131322211
quinary (5) 12410113
senary (6) 2343141
septenary (7) 1020145
nonary (9) 206067
undecimal (11) 84074
duodecimal (12) 5aab1
tridecimal (13) 43a08
tetradecimal (14) 32925
pentadecimal (15) 2648d

As an angle

122,533° = 340 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκβφλγʹ
Mayan (base 20)
𝋯·𝋦·𝋦·𝋭
Chinese
一十二萬二千五百三十三
Chinese (financial)
壹拾貳萬貳仟伍佰參拾參
In other modern scripts
Eastern Arabic ١٢٢٥٣٣ Devanagari १२२५३३ Bengali ১২২৫৩৩ Tamil ௧௨௨௫௩௩ Thai ๑๒๒๕๓๓ Tibetan ༡༢༢༥༣༣ Khmer ១២២៥៣៣ Lao ໑໒໒໕໓໓ Burmese ၁၂၂၅၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 122527.

Hex color
#01DEA5
RGB(1, 222, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.165.

Address
0.1.222.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.165

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 122,533 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.