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101,008

101,008 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.).
Arithmetic Number Deficient Number Evil Number Flippable

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
800,101
Flips to (rotate 180°)
800,101
Square (n²)
10,202,616,064
Cube (n³)
1,030,545,843,392,512
Divisor count
20
σ(n) — sum of divisors
200,880
φ(n) — Euler's totient
49,184
Sum of prime factors
174

Primality

Prime factorization: 2 4 × 59 × 107

Nearest primes: 100,999 (−9) · 101,009 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 59 · 107 · 118 · 214 · 236 · 428 · 472 · 856 · 944 · 1712 · 6313 · 12626 · 25252 · 50504 (half) · 101008
Aliquot sum (sum of proper divisors): 99,872
Factor pairs (a × b = 101,008)
1 × 101008
2 × 50504
4 × 25252
8 × 12626
16 × 6313
59 × 1712
107 × 944
118 × 856
214 × 472
236 × 428
First multiples
101,008 · 202,016 (double) · 303,024 · 404,032 · 505,040 · 606,048 · 707,056 · 808,064 · 909,072 · 1,010,080

Sums & aliquot sequence

As consecutive integers: 3,141 + 3,142 + … + 3,172 1,683 + 1,684 + … + 1,741 891 + 892 + … + 997
Aliquot sequence: 101,008 99,872 96,814 48,410 41,446 28,538 16,582 8,294 6,826 3,416 4,024 3,536 4,276 3,214 1,610 1,846 1,178 — unresolved within range

Continued fraction of √n

√101,008 = [317; (1, 4, 2, 12, 1, 3, 1, 2, 2, 70, 4, 1, 19, 1, 2, 2, 1, 1, 1, 14, 1, 6, 1, 10, …)]

Representations

In words
one hundred one thousand eight
Ordinal
101008th
Binary
11000101010010000
Octal
305220
Hexadecimal
0x18A90
Base64
AYqQ
One's complement
4,294,866,287 (32-bit)
Scientific notation
1.01008 × 10⁵
In other bases
ternary (3) 12010120001
quaternary (4) 120222100
quinary (5) 11213013
senary (6) 2055344
septenary (7) 600325
nonary (9) 163501
undecimal (11) 69986
duodecimal (12) 4a554
tridecimal (13) 36c8b
tetradecimal (14) 28b4c
pentadecimal (15) 1eddd

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραηʹ
Mayan (base 20)
𝋬·𝋬·𝋪·𝋨
Chinese
一十萬一千零八
Chinese (financial)
壹拾萬壹仟零捌
In other modern scripts
Eastern Arabic ١٠١٠٠٨ Devanagari १०१००८ Bengali ১০১০০৮ Tamil ௧௦௧௦௦௮ Thai ๑๐๑๐๐๘ Tibetan ༡༠༡༠༠༨ Khmer ១០១០០៨ Lao ໑໐໑໐໐໘ Burmese ၁၀၁၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101008, here are decompositions:

  • 71 + 100937 = 101008
  • 101 + 100907 = 101008
  • 179 + 100829 = 101008
  • 197 + 100811 = 101008
  • 239 + 100769 = 101008
  • 359 + 100649 = 101008
  • 449 + 100559 = 101008
  • 461 + 100547 = 101008

Showing the first eight; more decompositions exist.

Unicode codepoint
𘪐
Tangut Component-657
U+18A90
Other letter (Lo)

UTF-8 encoding: F0 98 AA 90 (4 bytes).

Hex color
#018A90
RGB(1, 138, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.144.

Address
0.1.138.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.144

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 101,008 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 101008 first appears in π at position 849,245 of the decimal expansion (the 849,245ordinal-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.