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101,304

101,304 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 Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
403,101
Square (n²)
10,262,500,416
Cube (n³)
1,039,632,342,142,464
Divisor count
64
σ(n) — sum of divisors
326,400
φ(n) — Euler's totient
28,512
Sum of prime factors
89

Primality

Prime factorization: 2 3 × 3 3 × 7 × 67

Nearest primes: 101,293 (−11) · 101,323 (+19)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 54 · 56 · 63 · 67 · 72 · 84 · 108 · 126 · 134 · 168 · 189 · 201 · 216 · 252 · 268 · 378 · 402 · 469 · 504 · 536 · 603 · 756 · 804 · 938 · 1206 · 1407 · 1512 · 1608 · 1809 · 1876 · 2412 · 2814 · 3618 · 3752 · 4221 · 4824 · 5628 · 7236 · 8442 · 11256 · 12663 · 14472 · 16884 · 25326 · 33768 · 50652 (half) · 101304
Aliquot sum (sum of proper divisors): 225,096
Factor pairs (a × b = 101,304)
1 × 101304
2 × 50652
3 × 33768
4 × 25326
6 × 16884
7 × 14472
8 × 12663
9 × 11256
12 × 8442
14 × 7236
18 × 5628
21 × 4824
24 × 4221
27 × 3752
28 × 3618
36 × 2814
42 × 2412
54 × 1876
56 × 1809
63 × 1608
67 × 1512
72 × 1407
84 × 1206
108 × 938
126 × 804
134 × 756
168 × 603
189 × 536
201 × 504
216 × 469
252 × 402
268 × 378
First multiples
101,304 · 202,608 (double) · 303,912 · 405,216 · 506,520 · 607,824 · 709,128 · 810,432 · 911,736 · 1,013,040

Sums & aliquot sequence

As consecutive integers: 33,767 + 33,768 + 33,769 14,469 + 14,470 + … + 14,475 11,252 + 11,253 + … + 11,260 6,324 + 6,325 + … + 6,339
Aliquot sequence: 101,304 225,096 349,464 524,256 895,008 1,454,640 3,902,160 8,418,480 21,412,944 50,526,896 61,965,904 104,523,440 173,211,760 229,505,768 215,656,732 161,742,556 145,882,916 — unresolved within range

Continued fraction of √n

√101,304 = [318; (3, 1, 1, 6, 1, 1, 1, 24, 1, 4, 3, 2, 1, 70, 31, 1, 4, 2, 1, 1, 1, 2, 4, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand three hundred four
Ordinal
101304th
Binary
11000101110111000
Octal
305670
Hexadecimal
0x18BB8
Base64
AYu4
One's complement
4,294,865,991 (32-bit)
Scientific notation
1.01304 × 10⁵
As a duration
101,304 s = 1 day, 4 hours, 8 minutes, 24 seconds
In other bases
ternary (3) 12010222000
quaternary (4) 120232320
quinary (5) 11220204
senary (6) 2101000
septenary (7) 601230
nonary (9) 163860
undecimal (11) 6a125
duodecimal (12) 4a760
tridecimal (13) 37158
tetradecimal (14) 28cc0
pentadecimal (15) 20039

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρατδʹ
Mayan (base 20)
𝋬·𝋭·𝋥·𝋤
Chinese
一十萬一千三百零四
Chinese (financial)
壹拾萬壹仟參佰零肆
In other modern scripts
Eastern Arabic ١٠١٣٠٤ Devanagari १०१३०४ Bengali ১০১৩০৪ Tamil ௧௦௧௩௦௪ Thai ๑๐๑๓๐๔ Tibetan ༡༠༡༣༠༤ Khmer ១០១៣០៤ Lao ໑໐໑໓໐໔ Burmese ၁၀၁၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101304, here are decompositions:

  • 11 + 101293 = 101304
  • 17 + 101287 = 101304
  • 23 + 101281 = 101304
  • 31 + 101273 = 101304
  • 37 + 101267 = 101304
  • 83 + 101221 = 101304
  • 97 + 101207 = 101304
  • 101 + 101203 = 101304

Showing the first eight; more decompositions exist.

Unicode codepoint
𘮸
Khitan Small Script Character-18Bb8
U+18BB8
Other letter (Lo)

UTF-8 encoding: F0 98 AE B8 (4 bytes).

Hex color
#018BB8
RGB(1, 139, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.139.184.

Address
0.1.139.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.139.184

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 101,304 and was likely granted around 1870.

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