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101,100

101,100 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 Cube-Free Flippable Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
3
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
1,101
Flips to (rotate 180°)
1,101
Recamán's sequence
a(98,599) = 101,100
Square (n²)
10,221,210,000
Cube (n³)
1,033,364,331,000,000
Divisor count
36
σ(n) — sum of divisors
293,384
φ(n) — Euler's totient
26,880
Sum of prime factors
354

Primality

Prime factorization: 2 2 × 3 × 5 2 × 337

Nearest primes: 101,089 (−11) · 101,107 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 50 · 60 · 75 · 100 · 150 · 300 · 337 · 674 · 1011 · 1348 · 1685 · 2022 · 3370 · 4044 · 5055 · 6740 · 8425 · 10110 · 16850 · 20220 · 25275 · 33700 · 50550 (half) · 101100
Aliquot sum (sum of proper divisors): 192,284
Factor pairs (a × b = 101,100)
1 × 101100
2 × 50550
3 × 33700
4 × 25275
5 × 20220
6 × 16850
10 × 10110
12 × 8425
15 × 6740
20 × 5055
25 × 4044
30 × 3370
50 × 2022
60 × 1685
75 × 1348
100 × 1011
150 × 674
300 × 337
First multiples
101,100 · 202,200 (double) · 303,300 · 404,400 · 505,500 · 606,600 · 707,700 · 808,800 · 909,900 · 1,011,000

Sums & aliquot sequence

As consecutive integers: 33,699 + 33,700 + 33,701 20,218 + 20,219 + 20,220 + 20,221 + 20,222 12,634 + 12,635 + … + 12,641 6,733 + 6,734 + … + 6,747
Aliquot sequence: 101,100 192,284 150,940 166,076 124,564 127,436 95,584 100,976 94,696 121,304 110,896 112,304 105,316 81,416 71,254 40,346 20,176 — unresolved within range

Continued fraction of √n

√101,100 = [317; (1, 25, 2, 158, 2, 25, 1, 634)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand one hundred
Ordinal
101100th
Binary
11000101011101100
Octal
305354
Hexadecimal
0x18AEC
Base64
AYrs
One's complement
4,294,866,195 (32-bit)
Scientific notation
1.011 × 10⁵
In other bases
ternary (3) 12010200110
quaternary (4) 120223230
quinary (5) 11213400
senary (6) 2100020
septenary (7) 600516
nonary (9) 163613
undecimal (11) 69a5a
duodecimal (12) 4a610
tridecimal (13) 3702c
tetradecimal (14) 28bb6
pentadecimal (15) 1ee50

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓍢
Greek (Milesian)
͵ραρʹ
Mayan (base 20)
𝋬·𝋬·𝋯·𝋠
Chinese
一十萬一千一百
Chinese (financial)
壹拾萬壹仟壹佰
In other modern scripts
Eastern Arabic ١٠١١٠٠ Devanagari १०११०० Bengali ১০১১০০ Tamil ௧௦௧௧௦௦ Thai ๑๐๑๑๐๐ Tibetan ༡༠༡༡༠༠ Khmer ១០១១០០ Lao ໑໐໑໑໐໐ Burmese ၁၀၁၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101100, here are decompositions:

  • 11 + 101089 = 101100
  • 19 + 101081 = 101100
  • 37 + 101063 = 101100
  • 73 + 101027 = 101100
  • 79 + 101021 = 101100
  • 101 + 100999 = 101100
  • 113 + 100987 = 101100
  • 157 + 100943 = 101100

Showing the first eight; more decompositions exist.

Unicode codepoint
𘫬
Tangut Component-749
U+18AEC
Other letter (Lo)

UTF-8 encoding: F0 98 AB AC (4 bytes).

Hex color
#018AEC
RGB(1, 138, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.236.

Address
0.1.138.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.236

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 101,100 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 101100 first appears in π at position 3,845 of the decimal expansion (the 3,845ordinal-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.