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132,701

132,701 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.).

132,701 (one hundred thirty-two thousand seven hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2065D.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
107,231
Square (n²)
17,609,555,401
Cube (n³)
2,336,805,611,268,101
Divisor count
2
σ(n) — sum of divisors
132,702
φ(n) — Euler's totient
132,700

Primality

132,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,701)
1 × 132701
First multiples
132,701 · 265,402 (double) · 398,103 · 530,804 · 663,505 · 796,206 · 928,907 · 1,061,608 · 1,194,309 · 1,327,010

Sums & aliquot sequence

As a sum of two squares: 101² + 350²
As consecutive integers: 66,350 + 66,351

Continued fraction of √n

√132,701 = [364; (3, 1, 1, 4, 3, 1, 17, 145, 1, 1, 1, 10, 20, 1, 2, 1, 1, 1, 1, 28, 1, 1, 7, 2, …)]

Representations

In words
one hundred thirty-two thousand seven hundred one
Ordinal
132701st
Binary
100000011001011101
Octal
403135
Hexadecimal
0x2065D
Base64
AgZd
One's complement
4,294,834,594 (32-bit)
Scientific notation
1.32701 × 10⁵
As a duration
132,701 s = 1 day, 12 hours, 51 minutes, 41 seconds
In other bases
ternary (3) 20202000212
quaternary (4) 200121131
quinary (5) 13221301
senary (6) 2502205
septenary (7) 1061612
nonary (9) 222025
undecimal (11) 90778
duodecimal (12) 64965
tridecimal (13) 4852a
tetradecimal (14) 36509
pentadecimal (15) 294bb

As an angle

132,701° = 368 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρλβψαʹ
Mayan (base 20)
𝋰·𝋫·𝋯·𝋡
Chinese
一十三萬二千七百零一
Chinese (financial)
壹拾參萬貳仟柒佰零壹
In other modern scripts
Eastern Arabic ١٣٢٧٠١ Devanagari १३२७०१ Bengali ১৩২৭০১ Tamil ௧௩௨௭௦௧ Thai ๑๓๒๗๐๑ Tibetan ༡༣༢༧༠༡ Khmer ១៣២៧០១ Lao ໑໓໒໗໐໑ Burmese ၁၃၂၇၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 132697, sexy with 132707.

Unicode codepoint
𠙝
CJK Unified Ideograph-2065D
U+2065D
Other letter (Lo)

UTF-8 encoding: F0 A0 99 9D (4 bytes).

Hex color
#02065D
RGB(2, 6, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.93.

Address
0.2.6.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.93

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 132,701 and was likely granted around 1872.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.