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100,980

100,980 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 Flippable Gapful Number Harshad / Niven Practical Number Weird Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
89,001
Flips to (rotate 180°)
86,001
Square (n²)
10,196,960,400
Cube (n³)
1,029,689,061,192,000
Divisor count
96
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
23,040
Sum of prime factors
46

Primality

Prime factorization: 2 2 × 3 3 × 5 × 11 × 17

Nearest primes: 100,957 (−23) · 100,981 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 17 · 18 · 20 · 22 · 27 · 30 · 33 · 34 · 36 · 44 · 45 · 51 · 54 · 55 · 60 · 66 · 68 · 85 · 90 · 99 · 102 · 108 · 110 · 132 · 135 · 153 · 165 · 170 · 180 · 187 · 198 · 204 · 220 · 255 · 270 · 297 · 306 · 330 · 340 · 374 · 396 · 459 · 495 · 510 · 540 · 561 · 594 · 612 · 660 · 748 · 765 · 918 · 935 · 990 · 1020 · 1122 · 1188 · 1485 · 1530 · 1683 · 1836 · 1870 · 1980 · 2244 · 2295 · 2805 · 2970 · 3060 · 3366 · 3740 · 4590 · 5049 · 5610 · 5940 · 6732 · 8415 · 9180 · 10098 · 11220 · 16830 · 20196 · 25245 · 33660 · 50490 (half) · 100980
Aliquot sum (sum of proper divisors): 261,900
Factor pairs (a × b = 100,980)
1 × 100980
2 × 50490
3 × 33660
4 × 25245
5 × 20196
6 × 16830
9 × 11220
10 × 10098
11 × 9180
12 × 8415
15 × 6732
17 × 5940
18 × 5610
20 × 5049
22 × 4590
27 × 3740
30 × 3366
33 × 3060
34 × 2970
36 × 2805
44 × 2295
45 × 2244
51 × 1980
54 × 1870
55 × 1836
60 × 1683
66 × 1530
68 × 1485
85 × 1188
90 × 1122
99 × 1020
102 × 990
108 × 935
110 × 918
132 × 765
135 × 748
153 × 660
165 × 612
170 × 594
180 × 561
187 × 540
198 × 510
204 × 495
220 × 459
255 × 396
270 × 374
297 × 340
306 × 330
First multiples
100,980 · 201,960 (double) · 302,940 · 403,920 · 504,900 · 605,880 · 706,860 · 807,840 · 908,820 · 1,009,800

Sums & aliquot sequence

As consecutive integers: 33,659 + 33,660 + 33,661 20,194 + 20,195 + 20,196 + 20,197 + 20,198 12,619 + 12,620 + … + 12,626 11,216 + 11,217 + … + 11,224
Aliquot sequence: 100,980 261,900 588,740 647,656 584,444 584,500 883,148 883,204 883,260 2,183,076 4,124,316 7,179,620 10,051,804 10,051,860 25,341,036 44,525,460 97,957,356 — unresolved within range

Continued fraction of √n

√100,980 = [317; (1, 3, 2, 2, 2, 3, 1, 634)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand nine hundred eighty
Ordinal
100980th
Binary
11000101001110100
Octal
305164
Hexadecimal
0x18A74
Base64
AYp0
One's complement
4,294,866,315 (32-bit)
Scientific notation
1.0098 × 10⁵
In other bases
ternary (3) 12010112000
quaternary (4) 120221310
quinary (5) 11212410
senary (6) 2055300
septenary (7) 600255
nonary (9) 163460
undecimal (11) 69960
duodecimal (12) 4a530
tridecimal (13) 36c69
tetradecimal (14) 28b2c
pentadecimal (15) 1edc0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρϡπʹ
Mayan (base 20)
𝋬·𝋬·𝋩·𝋠
Chinese
一十萬零九百八十
Chinese (financial)
壹拾萬零玖佰捌拾
In other modern scripts
Eastern Arabic ١٠٠٩٨٠ Devanagari १००९८० Bengali ১০০৯৮০ Tamil ௧௦௦௯௮௦ Thai ๑๐๐๙๘๐ Tibetan ༡༠༠༩༨༠ Khmer ១០០៩៨០ Lao ໑໐໐໙໘໐ Burmese ၁၀၀၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100980, here are decompositions:

  • 23 + 100957 = 100980
  • 37 + 100943 = 100980
  • 43 + 100937 = 100980
  • 53 + 100927 = 100980
  • 67 + 100913 = 100980
  • 73 + 100907 = 100980
  • 127 + 100853 = 100980
  • 151 + 100829 = 100980

Showing the first eight; more decompositions exist.

Unicode codepoint
𘩴
Tangut Component-629
U+18A74
Other letter (Lo)

UTF-8 encoding: F0 98 A9 B4 (4 bytes).

Hex color
#018A74
RGB(1, 138, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.116.

Address
0.1.138.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.116

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 100,980 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 100980 first appears in π at position 359,851 of the decimal expansion (the 359,851ordinal-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.