Live analysis

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.).

10,100 (ten thousand one hundred) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 101. Its proper divisors sum to 12,034, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2774.

Abundant Number Cube-Free Evil Number Flippable Gapful Number Harshad / Niven Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

10,088 10,089 10,090 10,091 10,092 10,093 10,094 10,095 10,096 10,097 10,098 10,099 10,100 10,101 10,102 10,103 10,104 10,105 10,106 10,107 10,108 10,109 10,110 10,111 10,112

less more

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

Continued fraction of √n

√10,100 = [100; (2, 200)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: ten thousand one hundred
Ordinal: 10100th
Binary: 10011101110100
Octal: 23564
Hexadecimal: 0x2774
Base64: J3Q=
One's complement: 55,435 (16-bit)
Scientific notation: 1.01 × 10⁴
As a duration: 10,100 s = 2 hours, 48 minutes, 20 seconds

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

As an angle

10,100° = 28 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

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).

Lookup U+2774 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 10,100 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -38¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +26¢)

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.

Look up 10100 on Pi Search ↗