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10,100

10,100 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 Pronic / Oblong Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
2
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
101
Flips to (rotate 180°)
101
Recamán's sequence
a(4,987) = 10,100
Square (n²)
102,010,000
Cube (n³)
1,030,301,000,000
Divisor count
18
σ(n) — sum of divisors
22,134
φ(n) — Euler's totient
4,000
Sum of prime factors
115

Primality

Prime factorization: 2 2 × 5 2 × 101

Nearest primes: 10,099 (−1) · 10,103 (+3)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 101 · 202 · 404 · 505 · 1010 · 2020 · 2525 · 5050 (half) · 10100
Aliquot sum (sum of proper divisors): 12,034
Factor pairs (a × b = 10,100)
1 × 10100
2 × 5050
4 × 2525
5 × 2020
10 × 1010
20 × 505
25 × 404
50 × 202
100 × 101
First multiples
10,100 · 20,200 (double) · 30,300 · 40,400 · 50,500 · 60,600 · 70,700 · 80,800 · 90,900 · 101,000

Sums & aliquot sequence

As a sum of two squares: 10² + 100² = 52² + 86² = 68² + 74²
As consecutive integers: 2,018 + 2,019 + 2,020 + 2,021 + 2,022 1,259 + 1,260 + … + 1,266 392 + 393 + … + 416 233 + 234 + … + 272
Aliquot sequence: 10,100 12,034 7,694 3,850 5,078 2,542 1,490 1,210 1,184 1,210 — enters a cycle

Representations

In words
ten thousand one hundred
Ordinal
10100th
Binary
10011101110100
Octal
23564
Hexadecimal
0x2774
Base64
J3Q=
One's complement
55,435 (16-bit)
In other bases
ternary (3) 111212002
quaternary (4) 2131310
quinary (5) 310400
senary (6) 114432
septenary (7) 41306
nonary (9) 14762
undecimal (11) 7652
duodecimal (12) 5a18
tridecimal (13) 479c
tetradecimal (14) 3976
pentadecimal (15) 2ed5

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓍢
Greek (Milesian)
͵ιρʹ
Mayan (base 20)
𝋡·𝋥·𝋥·𝋠
Chinese
一萬零一百
Chinese (financial)
壹萬零壹佰
In other modern scripts
Eastern Arabic ١٠١٠٠ Devanagari १०१०० Bengali ১০১০০ Tamil ௧௦௧௦௦ Thai ๑๐๑๐๐ Tibetan ༡༠༡༠༠ Khmer ១០១០០ Lao ໑໐໑໐໐ Burmese ၁၀၁၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 10,100 = 2
e — Euler's number (e)
Digit 10,100 = 2
φ — Golden ratio (φ)
Digit 10,100 = 5
√2 — Pythagoras's (√2)
Digit 10,100 = 2
ln 2 — Natural log of 2
Digit 10,100 = 1
γ — Euler-Mascheroni (γ)
Digit 10,100 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10100, here are decompositions:

  • 7 + 10093 = 10100
  • 31 + 10069 = 10100
  • 61 + 10039 = 10100
  • 127 + 9973 = 10100
  • 151 + 9949 = 10100
  • 193 + 9907 = 10100
  • 199 + 9901 = 10100
  • 229 + 9871 = 10100

Showing the first eight; more decompositions exist.

Unicode codepoint
Medium Left Curly Bracket Ornament
U+2774
Open punctuation (Ps)

UTF-8 encoding: E2 9D B4 (3 bytes).

Hex color
#002774
RGB(0, 39, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.116.

Address
0.0.39.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.116

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000010100
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 10100 first appears in π at position 852 of the decimal expansion (the 852ordinal-suffix:nd 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.