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100,100

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

Properties

Parity
Even
Digit count
6
Digit sum
2
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
1,001
Flips to (rotate 180°)
1,001
Square (n²)
10,020,010,000
Cube (n³)
1,003,003,001,000,000
Divisor count
72
σ(n) — sum of divisors
291,648
φ(n) — Euler's totient
28,800
Sum of prime factors
45

Primality

Prime factorization: 2 2 × 5 2 × 7 × 11 × 13

Nearest primes: 100,069 (−31) · 100,103 (+3)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 5 · 7 · 10 · 11 · 13 · 14 · 20 · 22 · 25 · 26 · 28 · 35 · 44 · 50 · 52 · 55 · 65 · 70 · 77 · 91 · 100 · 110 · 130 · 140 · 143 · 154 · 175 · 182 · 220 · 260 · 275 · 286 · 308 · 325 · 350 · 364 · 385 · 455 · 550 · 572 · 650 · 700 · 715 · 770 · 910 · 1001 · 1100 · 1300 · 1430 · 1540 · 1820 · 1925 · 2002 · 2275 · 2860 · 3575 · 3850 · 4004 · 4550 · 5005 · 7150 · 7700 · 9100 · 10010 · 14300 · 20020 · 25025 · 50050 (half) · 100100
Aliquot sum (sum of proper divisors): 191,548
Factor pairs (a × b = 100,100)
1 × 100100
2 × 50050
4 × 25025
5 × 20020
7 × 14300
10 × 10010
11 × 9100
13 × 7700
14 × 7150
20 × 5005
22 × 4550
25 × 4004
26 × 3850
28 × 3575
35 × 2860
44 × 2275
50 × 2002
52 × 1925
55 × 1820
65 × 1540
70 × 1430
77 × 1300
91 × 1100
100 × 1001
110 × 910
130 × 770
140 × 715
143 × 700
154 × 650
175 × 572
182 × 550
220 × 455
260 × 385
275 × 364
286 × 350
308 × 325
First multiples
100,100 · 200,200 (double) · 300,300 · 400,400 · 500,500 · 600,600 · 700,700 · 800,800 · 900,900 · 1,001,000

Sums & aliquot sequence

As consecutive integers: 20,018 + 20,019 + 20,020 + 20,021 + 20,022 14,297 + 14,298 + … + 14,303 12,509 + 12,510 + … + 12,516 9,095 + 9,096 + … + 9,105
Aliquot sequence: 100,100 191,548 191,604 319,564 331,604 383,404 383,460 971,292 1,709,540 2,393,692 2,487,044 2,576,266 2,241,974 1,601,434 1,189,286 1,091,674 564,506 — unresolved within range

Representations

In words
one hundred thousand one hundred
Ordinal
100100th
Binary
11000011100000100
Octal
303404
Hexadecimal
0x18704
Base64
AYcE
One's complement
4,294,867,195 (32-bit)
In other bases
ternary (3) 12002022102
quaternary (4) 120130010
quinary (5) 11200400
senary (6) 2051232
septenary (7) 564560
nonary (9) 162272
undecimal (11) 69230
duodecimal (12) 49b18
tridecimal (13) 36740
tetradecimal (14) 286a0
pentadecimal (15) 1e9d5

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓍢
Greek (Milesian)
͵ρρʹ
Mayan (base 20)
𝋬·𝋪·𝋥·𝋠
Chinese
一十萬零一百
Chinese (financial)
壹拾萬零壹佰
In other modern scripts
Eastern Arabic ١٠٠١٠٠ Devanagari १००१०० Bengali ১০০১০০ Tamil ௧௦௦௧௦௦ Thai ๑๐๐๑๐๐ Tibetan ༡༠༠༡༠༠ Khmer ១០០១០០ Lao ໑໐໐໑໐໐ Burmese ၁၀၀၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100100, here are decompositions:

  • 31 + 100069 = 100100
  • 43 + 100057 = 100100
  • 97 + 100003 = 100100
  • 109 + 99991 = 100100
  • 139 + 99961 = 100100
  • 193 + 99907 = 100100
  • 199 + 99901 = 100100
  • 223 + 99877 = 100100

Showing the first eight; more decompositions exist.

Unicode codepoint
𘜄
Tangut Ideograph-18704
U+18704
Other letter (Lo)

UTF-8 encoding: F0 98 9C 84 (4 bytes).

Hex color
#018704
RGB(1, 135, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.4.

Address
0.1.135.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.135.4

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 100,100 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 100100 first appears in π at position 334,095 of the decimal expansion (the 334,095ordinal-suffix:th 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.