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100,320

100,320 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
6
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
23,001
Recamán's sequence
a(99,451) = 100,320
Square (n²)
10,064,102,400
Cube (n³)
1,009,630,752,768,000
Divisor count
96
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
23,040
Sum of prime factors
48

Primality

Prime factorization: 2 5 × 3 × 5 × 11 × 19

Nearest primes: 100,313 (−7) · 100,333 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 19 · 20 · 22 · 24 · 30 · 32 · 33 · 38 · 40 · 44 · 48 · 55 · 57 · 60 · 66 · 76 · 80 · 88 · 95 · 96 · 110 · 114 · 120 · 132 · 152 · 160 · 165 · 176 · 190 · 209 · 220 · 228 · 240 · 264 · 285 · 304 · 330 · 352 · 380 · 418 · 440 · 456 · 480 · 528 · 570 · 608 · 627 · 660 · 760 · 836 · 880 · 912 · 1045 · 1056 · 1140 · 1254 · 1320 · 1520 · 1672 · 1760 · 1824 · 2090 · 2280 · 2508 · 2640 · 3040 · 3135 · 3344 · 4180 · 4560 · 5016 · 5280 · 6270 · 6688 · 8360 · 9120 · 10032 · 12540 · 16720 · 20064 · 25080 · 33440 · 50160 (half) · 100320
Aliquot sum (sum of proper divisors): 262,560
Factor pairs (a × b = 100,320)
1 × 100320
2 × 50160
3 × 33440
4 × 25080
5 × 20064
6 × 16720
8 × 12540
10 × 10032
11 × 9120
12 × 8360
15 × 6688
16 × 6270
19 × 5280
20 × 5016
22 × 4560
24 × 4180
30 × 3344
32 × 3135
33 × 3040
38 × 2640
40 × 2508
44 × 2280
48 × 2090
55 × 1824
57 × 1760
60 × 1672
66 × 1520
76 × 1320
80 × 1254
88 × 1140
95 × 1056
96 × 1045
110 × 912
114 × 880
120 × 836
132 × 760
152 × 660
160 × 627
165 × 608
176 × 570
190 × 528
209 × 480
220 × 456
228 × 440
240 × 418
264 × 380
285 × 352
304 × 330
First multiples
100,320 · 200,640 (double) · 300,960 · 401,280 · 501,600 · 601,920 · 702,240 · 802,560 · 902,880 · 1,003,200

Sums & aliquot sequence

As consecutive integers: 33,439 + 33,440 + 33,441 20,062 + 20,063 + 20,064 + 20,065 + 20,066 9,115 + 9,116 + … + 9,125 6,681 + 6,682 + … + 6,695
Aliquot sequence: 100,320 262,560 566,016 1,101,888 2,058,126 2,646,258 2,646,270 5,206,050 9,418,014 11,100,978 17,840,142 22,880,658 23,065,998 23,066,010 45,269,478 53,478,522 65,922,438 — unresolved within range

Representations

In words
one hundred thousand three hundred twenty
Ordinal
100320th
Binary
11000011111100000
Octal
303740
Hexadecimal
0x187E0
Base64
AYfg
One's complement
4,294,866,975 (32-bit)
Scientific notation
1.0032 × 10⁵
In other bases
ternary (3) 12002121120
quaternary (4) 120133200
quinary (5) 11202240
senary (6) 2052240
septenary (7) 565323
nonary (9) 162546
undecimal (11) 69410
duodecimal (12) 4a080
tridecimal (13) 3687c
tetradecimal (14) 287ba
pentadecimal (15) 1ead0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρτκʹ
Mayan (base 20)
𝋬·𝋪·𝋰·𝋠
Chinese
一十萬零三百二十
Chinese (financial)
壹拾萬零參佰貳拾
In other modern scripts
Eastern Arabic ١٠٠٣٢٠ Devanagari १००३२० Bengali ১০০৩২০ Tamil ௧௦௦௩௨௦ Thai ๑๐๐๓๒๐ Tibetan ༡༠༠༣༢༠ Khmer ១០០៣២០ Lao ໑໐໐໓໒໐ Burmese ၁၀၀၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100320, here are decompositions:

  • 7 + 100313 = 100320
  • 23 + 100297 = 100320
  • 29 + 100291 = 100320
  • 41 + 100279 = 100320
  • 53 + 100267 = 100320
  • 83 + 100237 = 100320
  • 107 + 100213 = 100320
  • 113 + 100207 = 100320

Showing the first eight; more decompositions exist.

Unicode codepoint
𘟠
Tangut Ideograph-187E0
U+187E0
Other letter (Lo)

UTF-8 encoding: F0 98 9F A0 (4 bytes).

Hex color
#0187E0
RGB(1, 135, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.224.

Address
0.1.135.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.135.224

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 100,320 and was likely granted around 1870.

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

Position in π

The digit sequence 100320 first appears in π at position 424,601 of the decimal expansion (the 424,601ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.