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101,164

101,164 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 Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
461,101
Recamán's sequence
a(98,471) = 101,164
Square (n²)
10,234,154,896
Cube (n³)
1,035,328,045,898,944
Divisor count
12
σ(n) — sum of divisors
202,384
φ(n) — Euler's totient
43,344
Sum of prime factors
3,624

Primality

Prime factorization: 2 2 × 7 × 3613

Nearest primes: 101,161 (−3) · 101,173 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 3613 · 7226 · 14452 · 25291 · 50582 (half) · 101164
Aliquot sum (sum of proper divisors): 101,220
Factor pairs (a × b = 101,164)
1 × 101164
2 × 50582
4 × 25291
7 × 14452
14 × 7226
28 × 3613
First multiples
101,164 · 202,328 (double) · 303,492 · 404,656 · 505,820 · 606,984 · 708,148 · 809,312 · 910,476 · 1,011,640

Sums & aliquot sequence

As consecutive integers: 14,449 + 14,450 + … + 14,455 12,642 + 12,643 + … + 12,649 1,779 + 1,780 + … + 1,834
Aliquot sequence: 101,164 101,220 224,028 439,908 733,404 1,222,564 1,277,276 1,850,884 1,850,940 5,120,388 11,249,532 21,249,844 25,114,124 27,758,836 27,758,892 52,047,492 86,746,044 — unresolved within range

Continued fraction of √n

√101,164 = [318; (15, 1, 9, 6, 3, 1, 5, 7, 1, 2, 8, 7, 2, 4, 1, 5, 52, 1, 5, 5, 7, 2, 8, 70, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand one hundred sixty-four
Ordinal
101164th
Binary
11000101100101100
Octal
305454
Hexadecimal
0x18B2C
Base64
AYss
One's complement
4,294,866,131 (32-bit)
Scientific notation
1.01164 × 10⁵
In other bases
ternary (3) 12010202211
quaternary (4) 120230230
quinary (5) 11214124
senary (6) 2100204
septenary (7) 600640
nonary (9) 163684
undecimal (11) 6a008
duodecimal (12) 4a664
tridecimal (13) 3707b
tetradecimal (14) 28c20
pentadecimal (15) 1ee94

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραρξδʹ
Mayan (base 20)
𝋬·𝋬·𝋲·𝋤
Chinese
一十萬一千一百六十四
Chinese (financial)
壹拾萬壹仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٠١١٦٤ Devanagari १०११६४ Bengali ১০১১৬৪ Tamil ௧௦௧௧௬௪ Thai ๑๐๑๑๖๔ Tibetan ༡༠༡༡༦༤ Khmer ១០១១៦៤ Lao ໑໐໑໑໖໔ Burmese ၁၀၁၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101164, here are decompositions:

  • 3 + 101161 = 101164
  • 5 + 101159 = 101164
  • 23 + 101141 = 101164
  • 47 + 101117 = 101164
  • 53 + 101111 = 101164
  • 83 + 101081 = 101164
  • 101 + 101063 = 101164
  • 113 + 101051 = 101164

Showing the first eight; more decompositions exist.

Unicode codepoint
𘬬
Khitan Small Script Character-18B2C
U+18B2C
Other letter (Lo)

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

Hex color
#018B2C
RGB(1, 139, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.139.44.

Address
0.1.139.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.139.44

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 101,164 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 101164 first appears in π at position 424,416 of the decimal expansion (the 424,416ordinal-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.