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101,052

101,052 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 Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Refactorable Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
250,101
Square (n²)
10,211,506,704
Cube (n³)
1,031,893,175,452,608
Divisor count
36
σ(n) — sum of divisors
292,656
φ(n) — Euler's totient
28,800
Sum of prime factors
418

Primality

Prime factorization: 2 2 × 3 2 × 7 × 401

Nearest primes: 101,051 (−1) · 101,063 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 63 · 84 · 126 · 252 · 401 · 802 · 1203 · 1604 · 2406 · 2807 · 3609 · 4812 · 5614 · 7218 · 8421 · 11228 · 14436 · 16842 · 25263 · 33684 · 50526 (half) · 101052
Aliquot sum (sum of proper divisors): 191,604
Factor pairs (a × b = 101,052)
1 × 101052
2 × 50526
3 × 33684
4 × 25263
6 × 16842
7 × 14436
9 × 11228
12 × 8421
14 × 7218
18 × 5614
21 × 4812
28 × 3609
36 × 2807
42 × 2406
63 × 1604
84 × 1203
126 × 802
252 × 401
First multiples
101,052 · 202,104 (double) · 303,156 · 404,208 · 505,260 · 606,312 · 707,364 · 808,416 · 909,468 · 1,010,520

Sums & aliquot sequence

As consecutive integers: 33,683 + 33,684 + 33,685 14,433 + 14,434 + … + 14,439 12,628 + 12,629 + … + 12,635 11,224 + 11,225 + … + 11,232
Aliquot sequence: 101,052 191,604 319,564 331,604 383,404 383,460 971,292 1,709,540 2,393,692 2,487,044 2,576,266 2,241,974 1,601,434 1,189,286 1,091,674 564,506 282,256 — unresolved within range

Continued fraction of √n

√101,052 = [317; (1, 7, 1, 4, 1, 16, 1, 4, 1, 7, 1, 634)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand fifty-two
Ordinal
101052nd
Binary
11000101010111100
Octal
305274
Hexadecimal
0x18ABC
Base64
AYq8
One's complement
4,294,866,243 (32-bit)
Scientific notation
1.01052 × 10⁵
In other bases
ternary (3) 12010121200
quaternary (4) 120222330
quinary (5) 11213202
senary (6) 2055500
septenary (7) 600420
nonary (9) 163550
undecimal (11) 69a16
duodecimal (12) 4a590
tridecimal (13) 36cc3
tetradecimal (14) 28b80
pentadecimal (15) 1ee1c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρανβʹ
Mayan (base 20)
𝋬·𝋬·𝋬·𝋬
Chinese
一十萬一千零五十二
Chinese (financial)
壹拾萬壹仟零伍拾貳
In other modern scripts
Eastern Arabic ١٠١٠٥٢ Devanagari १०१०५२ Bengali ১০১০৫২ Tamil ௧௦௧௦௫௨ Thai ๑๐๑๐๕๒ Tibetan ༡༠༡༠༥༢ Khmer ១០១០៥២ Lao ໑໐໑໐໕໒ Burmese ၁၀၁၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101052, here are decompositions:

  • 31 + 101021 = 101052
  • 43 + 101009 = 101052
  • 53 + 100999 = 101052
  • 71 + 100981 = 101052
  • 109 + 100943 = 101052
  • 139 + 100913 = 101052
  • 199 + 100853 = 101052
  • 223 + 100829 = 101052

Showing the first eight; more decompositions exist.

Unicode codepoint
𘪼
Tangut Component-701
U+18ABC
Other letter (Lo)

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

Hex color
#018ABC
RGB(1, 138, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.188.

Address
0.1.138.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.188

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 101,052 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 101052 first appears in π at position 42,200 of the decimal expansion (the 42,200ordinal-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.