Live analysis

10,101

10,101 is a composite number, odd.

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.).

10,101 (ten thousand one hundred one) is an odd 5-digit number. It is a composite number with 16 divisors, and factors as 3 × 7 × 13 × 37. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x2775.

Arithmetic Number Consecutive Digits Cube-Free Deficient Number Flippable Harshad / Niven Odious Number Palindrome Recamán's Sequence Squarefree Strobogrammatic Undulating Number

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

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 10,113

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: Yes
Bit width: 14 bits
Recamán's sequence: a(4,989) = 10,101
Square (n²): 102,030,201
Cube (n³): 1,030,607,060,301
Divisor count: 16
σ(n) — sum of divisors: 17,024
φ(n) — Euler's totient: 5,184
Sum of prime factors: 60

Primality

Prime factorization: 3 × 7 × 13 × 37

Nearest primes: 10,099 (−2) · 10,103 (+2)

Divisors & multiples

All divisors (16)

1 · 3 · 7 · 13 · 21 · 37 · 39 · 91 · 111 · 259 · 273 · 481 · 777 · 1443 · 3367 · 10101

Aliquot sum (sum of proper divisors): 6,923

Factor pairs (a × b = 10,101)

1 × 10101

3 × 3367

7 × 1443

13 × 777

21 × 481

37 × 273

39 × 259

91 × 111

First multiples

10,101 · 20,202 (double) · 30,303 · 40,404 · 50,505 · 60,606 · 70,707 · 80,808 · 90,909 · 101,010

Sums & aliquot sequence

As consecutive integers: 5,050 + 5,051 3,366 + 3,367 + 3,368 1,681 + 1,682 + 1,683 + 1,684 + 1,685 + 1,686 1,440 + 1,441 + … + 1,446

Aliquot sequence: 10,101 → 6,923 → 1,525 → 397 → 1 → 0 — terminates at zero

Continued fraction of √n

√10,101 = [100; (1, 1, 66, 1, 1, 200)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: ten thousand one hundred one
Ordinal: 10101st
Binary: 10011101110101
Octal: 23565
Hexadecimal: 0x2775
Base64: J3U=
One's complement: 55,434 (16-bit)
Scientific notation: 1.0101 × 10⁴
As a duration: 10,101 s = 2 hours, 48 minutes, 21 seconds

In other bases

ternary (3) 111212010

quaternary (4) 2131311

quinary (5) 310401

senary (6) 114433

septenary (7) 41310

nonary (9) 14763

undecimal (11) 7653

duodecimal (12) 5a19

tridecimal (13) 47a0

tetradecimal (14) 3977

pentadecimal (15) 2ed6

As an angle

10,101° = 28 × 360° + 21°

21° ≈ 0.367 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓂍𓍢𓏺
Greek (Milesian): ͵ιραʹ
Mayan (base 20): 𝋡·𝋥·𝋥·𝋡
Chinese: 一萬零一百零一
Chinese (financial): 壹萬零壹佰零壹

In other modern scripts

Eastern Arabic ١٠١٠١ Devanagari १०१०१ Bengali ১০১০১ Tamil ௧௦௧௦௧ Thai ๑๐๑๐๑ Tibetan ༡༠༡༠༡ Khmer ១០១០១ Lao ໑໐໑໐໑ Burmese ၁၀၁၀၁

Digit at this position in famous constants

π — Pi (π): Digit 10,101 = 5
e — Euler's number (e): Digit 10,101 = 1
φ — Golden ratio (φ): Digit 10,101 = 6
√2 — Pythagoras's (√2): Digit 10,101 = 7
ln 2 — Natural log of 2: Digit 10,101 = 9
γ — Euler-Mascheroni (γ): Digit 10,101 = 6

Also seen as

Unicode codepoint

❵

Medium Right Curly Bracket Ornament

U+2775

Close punctuation (Pe)

UTF-8 encoding: E2 9D B5 (3 bytes).

Lookup U+2775 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002775

RGB(0, 39, 117)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.117.

Address: 0.0.39.117
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.117

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

Musical pitch

Heard as a frequency, 10,101 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -37¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +26¢)

Position in π

The digit sequence 10101 first appears in π at position 152,263 of the decimal expansion (the 152,263ordinal-suffix:rd 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 10101 on Pi Search ↗