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101,072

101,072 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
270,101
Recamán's sequence
a(98,655) = 101,072
Square (n²)
10,215,549,184
Cube (n³)
1,032,505,987,125,248
Divisor count
10
σ(n) — sum of divisors
195,858
φ(n) — Euler's totient
50,528
Sum of prime factors
6,325

Primality

Prime factorization: 2 4 × 6317

Nearest primes: 101,063 (−9) · 101,081 (+9)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 6317 · 12634 · 25268 · 50536 (half) · 101072
Aliquot sum (sum of proper divisors): 94,786
Factor pairs (a × b = 101,072)
1 × 101072
2 × 50536
4 × 25268
8 × 12634
16 × 6317
First multiples
101,072 · 202,144 (double) · 303,216 · 404,288 · 505,360 · 606,432 · 707,504 · 808,576 · 909,648 · 1,010,720

Sums & aliquot sequence

As a sum of two squares: 116² + 296²
As consecutive integers: 3,143 + 3,144 + … + 3,174
Aliquot sequence: 101,072 94,786 49,358 32,722 16,364 12,280 15,440 20,644 18,360 46,440 111,960 253,080 636,120 1,667,880 3,934,080 9,670,680 21,760,200 — unresolved within range

Continued fraction of √n

√101,072 = [317; (1, 11, 4, 2, 1, 3, 14, 5, 1, 1, 3, 1, 9, 6, 2, 4, 1, 3, 1, 4, 1, 2, 4, 1, …)]

Representations

In words
one hundred one thousand seventy-two
Ordinal
101072nd
Binary
11000101011010000
Octal
305320
Hexadecimal
0x18AD0
Base64
AYrQ
One's complement
4,294,866,223 (32-bit)
Scientific notation
1.01072 × 10⁵
In other bases
ternary (3) 12010122102
quaternary (4) 120223100
quinary (5) 11213242
senary (6) 2055532
septenary (7) 600446
nonary (9) 163572
undecimal (11) 69a34
duodecimal (12) 4a5a8
tridecimal (13) 3700a
tetradecimal (14) 28b96
pentadecimal (15) 1ee32

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ραοβʹ
Mayan (base 20)
𝋬·𝋬·𝋭·𝋬
Chinese
一十萬一千零七十二
Chinese (financial)
壹拾萬壹仟零柒拾貳
In other modern scripts
Eastern Arabic ١٠١٠٧٢ Devanagari १०१०७२ Bengali ১০১০৭২ Tamil ௧௦௧௦௭௨ Thai ๑๐๑๐๗๒ Tibetan ༡༠༡༠༧༢ Khmer ១០១០៧២ Lao ໑໐໑໐໗໒ Burmese ၁၀၁၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101072, here are decompositions:

  • 73 + 100999 = 101072
  • 271 + 100801 = 101072
  • 331 + 100741 = 101072
  • 373 + 100699 = 101072
  • 379 + 100693 = 101072
  • 463 + 100609 = 101072
  • 523 + 100549 = 101072
  • 571 + 100501 = 101072

Showing the first eight; more decompositions exist.

Unicode codepoint
𘫐
Tangut Component-721
U+18AD0
Other letter (Lo)

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

Hex color
#018AD0
RGB(1, 138, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.208.

Address
0.1.138.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.208

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 101,072 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 101072 first appears in π at position 803,014 of the decimal expansion (the 803,014ordinal-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.