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132,561

132,561 is a composite number, odd.

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.).

132,561 (one hundred thirty-two thousand five hundred sixty-one) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3² × 11 × 13 × 103. Written other ways, in hexadecimal, 0x205D1.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
180
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
165,231
Square (n²)
17,572,418,721
Cube (n³)
2,329,417,398,074,481
Divisor count
24
σ(n) — sum of divisors
227,136
φ(n) — Euler's totient
73,440
Sum of prime factors
133

Primality

Prime factorization: 3 2 × 11 × 13 × 103

Nearest primes: 132,547 (−14) · 132,589 (+28)

Divisors & multiples

All divisors (24)
1 · 3 · 9 · 11 · 13 · 33 · 39 · 99 · 103 · 117 · 143 · 309 · 429 · 927 · 1133 · 1287 · 1339 · 3399 · 4017 · 10197 · 12051 · 14729 · 44187 · 132561
Aliquot sum (sum of proper divisors): 94,575
Factor pairs (a × b = 132,561)
1 × 132561
3 × 44187
9 × 14729
11 × 12051
13 × 10197
33 × 4017
39 × 3399
99 × 1339
103 × 1287
117 × 1133
143 × 927
309 × 429
First multiples
132,561 · 265,122 (double) · 397,683 · 530,244 · 662,805 · 795,366 · 927,927 · 1,060,488 · 1,193,049 · 1,325,610

Sums & aliquot sequence

As consecutive integers: 66,280 + 66,281 44,186 + 44,187 + 44,188 22,091 + 22,092 + 22,093 + 22,094 + 22,095 + 22,096 14,725 + 14,726 + … + 14,733
Aliquot sequence: 132,561 94,575 75,553 1 0 — terminates at zero

Continued fraction of √n

√132,561 = [364; (11, 4, 1, 28, 3, 11, 20, 1, 2, 1, 1, 7, 2, 3, 20, 1, 1, 14, 2, 1, 6, 1, 1, 6, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand five hundred sixty-one
Ordinal
132561st
Binary
100000010111010001
Octal
402721
Hexadecimal
0x205D1
Base64
AgXR
One's complement
4,294,834,734 (32-bit)
Scientific notation
1.32561 × 10⁵
As a duration
132,561 s = 1 day, 12 hours, 49 minutes, 21 seconds
In other bases
ternary (3) 20201211200
quaternary (4) 200113101
quinary (5) 13220221
senary (6) 2501413
septenary (7) 1061322
nonary (9) 221750
undecimal (11) 90660
duodecimal (12) 64869
tridecimal (13) 48450
tetradecimal (14) 36449
pentadecimal (15) 29426

As an angle

132,561° = 368 × 360° + 81°
81° ≈ 1.414 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλβφξαʹ
Mayan (base 20)
𝋰·𝋫·𝋨·𝋡
Chinese
一十三萬二千五百六十一
Chinese (financial)
壹拾參萬貳仟伍佰陸拾壹
In other modern scripts
Eastern Arabic ١٣٢٥٦١ Devanagari १३२५६१ Bengali ১৩২৫৬১ Tamil ௧௩௨௫௬௧ Thai ๑๓๒๕๖๑ Tibetan ༡༣༢༥༦༡ Khmer ១៣២៥៦១ Lao ໑໓໒໕໖໑ Burmese ၁၃၂၅၆၁

Also seen as

Unicode codepoint
𠗑
CJK Unified Ideograph-205D1
U+205D1
Other letter (Lo)

UTF-8 encoding: F0 A0 97 91 (4 bytes).

Hex color
#0205D1
RGB(2, 5, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.209.

Address
0.2.5.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.209

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 132,561 and was likely granted around 1872.

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

Position in π

The digit sequence 132561 first appears in π at position 233,898 of the decimal expansion (the 233,898ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.