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101,322

101,322 is a composite number, even.

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.).
Abundant Number Cube-Free Happy Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
223,101
Square (n²)
10,266,147,684
Cube (n³)
1,040,186,615,638,248
Divisor count
24
σ(n) — sum of divisors
236,964
φ(n) — Euler's totient
31,104
Sum of prime factors
454

Primality

Prime factorization: 2 × 3 2 × 13 × 433

Nearest primes: 101,293 (−29) · 101,323 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 234 · 433 · 866 · 1299 · 2598 · 3897 · 5629 · 7794 · 11258 · 16887 · 33774 · 50661 (half) · 101322
Aliquot sum (sum of proper divisors): 135,642
Factor pairs (a × b = 101,322)
1 × 101322
2 × 50661
3 × 33774
6 × 16887
9 × 11258
13 × 7794
18 × 5629
26 × 3897
39 × 2598
78 × 1299
117 × 866
234 × 433
First multiples
101,322 · 202,644 (double) · 303,966 · 405,288 · 506,610 · 607,932 · 709,254 · 810,576 · 911,898 · 1,013,220

Sums & aliquot sequence

As a sum of two squares: 129² + 291² = 219² + 231²
As consecutive integers: 33,773 + 33,774 + 33,775 25,329 + 25,330 + 25,331 + 25,332 11,254 + 11,255 + … + 11,262 8,438 + 8,439 + … + 8,449
Aliquot sequence: 101,322 135,642 170,790 239,178 239,190 465,834 520,854 543,594 543,606 751,206 751,218 866,958 881,778 891,438 891,450 1,855,398 1,890,762 — unresolved within range

Continued fraction of √n

√101,322 = [318; (3, 4, 1, 2, 8, 4, 24, 4, 8, 2, 1, 4, 3, 636)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand three hundred twenty-two
Ordinal
101322nd
Binary
11000101111001010
Octal
305712
Hexadecimal
0x18BCA
Base64
AYvK
One's complement
4,294,865,973 (32-bit)
Scientific notation
1.01322 × 10⁵
As a duration
101,322 s = 1 day, 4 hours, 8 minutes, 42 seconds
In other bases
ternary (3) 12010222200
quaternary (4) 120233022
quinary (5) 11220242
senary (6) 2101030
septenary (7) 601254
nonary (9) 163880
undecimal (11) 6a141
duodecimal (12) 4a776
tridecimal (13) 37170
tetradecimal (14) 28cd4
pentadecimal (15) 2004c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρατκβʹ
Mayan (base 20)
𝋬·𝋭·𝋦·𝋢
Chinese
一十萬一千三百二十二
Chinese (financial)
壹拾萬壹仟參佰貳拾貳
In other modern scripts
Eastern Arabic ١٠١٣٢٢ Devanagari १०१३२२ Bengali ১০১৩২২ Tamil ௧௦௧௩௨௨ Thai ๑๐๑๓๒๒ Tibetan ༡༠༡༣༢༢ Khmer ១០១៣២២ Lao ໑໐໑໓໒໒ Burmese ၁၀၁၃၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101322, here are decompositions:

  • 29 + 101293 = 101322
  • 41 + 101281 = 101322
  • 43 + 101279 = 101322
  • 101 + 101221 = 101322
  • 113 + 101209 = 101322
  • 139 + 101183 = 101322
  • 149 + 101173 = 101322
  • 163 + 101159 = 101322

Showing the first eight; more decompositions exist.

Unicode codepoint
𘯊
Khitan Small Script Character-18Bca
U+18BCA
Other letter (Lo)

UTF-8 encoding: F0 98 AF 8A (4 bytes).

Hex color
#018BCA
RGB(1, 139, 202)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.139.202.

Address
0.1.139.202
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.139.202

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 101,322 and was likely granted around 1870.

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