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101,132

101,132 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 Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
231,101
Recamán's sequence
a(98,535) = 101,132
Square (n²)
10,227,681,424
Cube (n³)
1,034,345,877,771,968
Divisor count
12
σ(n) — sum of divisors
179,256
φ(n) — Euler's totient
49,920
Sum of prime factors
328

Primality

Prime factorization: 2 2 × 131 × 193

Nearest primes: 101,119 (−13) · 101,141 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 131 · 193 · 262 · 386 · 524 · 772 · 25283 · 50566 (half) · 101132
Aliquot sum (sum of proper divisors): 78,124
Factor pairs (a × b = 101,132)
1 × 101132
2 × 50566
4 × 25283
131 × 772
193 × 524
262 × 386
First multiples
101,132 · 202,264 (double) · 303,396 · 404,528 · 505,660 · 606,792 · 707,924 · 809,056 · 910,188 · 1,011,320

Sums & aliquot sequence

As consecutive integers: 12,638 + 12,639 + … + 12,645 707 + 708 + … + 837 428 + 429 + … + 620
Aliquot sequence: 101,132 78,124 58,600 78,110 65,746 34,478 17,242 9,434 5,146 2,918 1,462 914 460 548 418 302 154 — unresolved within range

Continued fraction of √n

√101,132 = [318; (79, 1, 1, 158, 1, 1, 79, 636)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand one hundred thirty-two
Ordinal
101132nd
Binary
11000101100001100
Octal
305414
Hexadecimal
0x18B0C
Base64
AYsM
One's complement
4,294,866,163 (32-bit)
Scientific notation
1.01132 × 10⁵
In other bases
ternary (3) 12010201122
quaternary (4) 120230030
quinary (5) 11214012
senary (6) 2100112
septenary (7) 600563
nonary (9) 163648
undecimal (11) 69a89
duodecimal (12) 4a638
tridecimal (13) 37055
tetradecimal (14) 28bda
pentadecimal (15) 1ee72

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ραρλβʹ
Mayan (base 20)
𝋬·𝋬·𝋰·𝋬
Chinese
一十萬一千一百三十二
Chinese (financial)
壹拾萬壹仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١٠١١٣٢ Devanagari १०११३२ Bengali ১০১১৩২ Tamil ௧௦௧௧௩௨ Thai ๑๐๑๑๓๒ Tibetan ༡༠༡༡༣༢ Khmer ១០១១៣២ Lao ໑໐໑໑໓໒ Burmese ၁၀၁၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101132, here are decompositions:

  • 13 + 101119 = 101132
  • 19 + 101113 = 101132
  • 43 + 101089 = 101132
  • 151 + 100981 = 101132
  • 331 + 100801 = 101132
  • 433 + 100699 = 101132
  • 439 + 100693 = 101132
  • 463 + 100669 = 101132

Showing the first eight; more decompositions exist.

Unicode codepoint
𘬌
Khitan Small Script Character-18B0C
U+18B0C
Other letter (Lo)

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

Hex color
#018B0C
RGB(1, 139, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.139.12.

Address
0.1.139.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.139.12

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 101,132 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000101132
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 101132 first appears in π at position 587,140 of the decimal expansion (the 587,140ordinal-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.