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132,001

132,001 is a prime, 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.).

132,001 (one hundred thirty-two thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x203A1.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
100,231
Recamán's sequence
a(228,370) = 132,001
Square (n²)
17,424,264,001
Cube (n³)
2,300,020,272,396,001
Divisor count
2
σ(n) — sum of divisors
132,002
φ(n) — Euler's totient
132,000

Primality

132,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,001)
1 × 132001
First multiples
132,001 · 264,002 (double) · 396,003 · 528,004 · 660,005 · 792,006 · 924,007 · 1,056,008 · 1,188,009 · 1,320,010

Sums & aliquot sequence

As a sum of two squares: 49² + 360²
As consecutive integers: 66,000 + 66,001

Continued fraction of √n

√132,001 = [363; (3, 7, 1, 1, 1, 6, 1, 5, 5, 2, 1, 1, 1, 9, 1, 9, 3, 22, 2, 1, 1, 2, 15, 1, …)]

Representations

In words
one hundred thirty-two thousand one
Ordinal
132001st
Binary
100000001110100001
Octal
401641
Hexadecimal
0x203A1
Base64
AgOh
One's complement
4,294,835,294 (32-bit)
Scientific notation
1.32001 × 10⁵
As a duration
132,001 s = 1 day, 12 hours, 40 minutes, 1 second
In other bases
ternary (3) 20201001221
quaternary (4) 200032201
quinary (5) 13211001
senary (6) 2455041
septenary (7) 1056562
nonary (9) 221057
undecimal (11) 901a1
duodecimal (12) 64481
tridecimal (13) 4810c
tetradecimal (14) 36169
pentadecimal (15) 291a1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓏺
Greek (Milesian)
͵ρλβαʹ
Mayan (base 20)
𝋰·𝋪·𝋠·𝋡
Chinese
一十三萬二千零一
Chinese (financial)
壹拾參萬貳仟零壹
In other modern scripts
Eastern Arabic ١٣٢٠٠١ Devanagari १३२००१ Bengali ১৩২০০১ Tamil ௧௩௨௦௦௧ Thai ๑๓๒๐๐๑ Tibetan ༡༣༢༠༠༡ Khmer ១៣២០០១ Lao ໑໓໒໐໐໑ Burmese ၁၃၂၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠎡
CJK Unified Ideograph-203A1
U+203A1
Other letter (Lo)

UTF-8 encoding: F0 A0 8E A1 (4 bytes).

Hex color
#0203A1
RGB(2, 3, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.161.

Address
0.2.3.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.161

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 132,001 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 132001 first appears in π at position 221,637 of the decimal expansion (the 221,637ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.