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107,201

107,201 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.).

107,201 (one hundred seven thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A2C1.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
102,701
Recamán's sequence
a(82,457) = 107,201
Square (n²)
11,492,054,401
Cube (n³)
1,231,959,723,841,601
Divisor count
2
σ(n) — sum of divisors
107,202
φ(n) — Euler's totient
107,200

Primality

107,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 107201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 107,201)
1 × 107201
First multiples
107,201 · 214,402 (double) · 321,603 · 428,804 · 536,005 · 643,206 · 750,407 · 857,608 · 964,809 · 1,072,010

Sums & aliquot sequence

As a sum of two squares: 199² + 260²
As consecutive integers: 53,600 + 53,601

Continued fraction of √n

√107,201 = [327; (2, 2, 2, 6, 2, 1, 130, 3, 1, 1, 7, 3, 7, 26, 17, 1, 1, 1, 15, 1, 2, 2, 4, 1, …)]

Representations

In words
one hundred seven thousand two hundred one
Ordinal
107201st
Binary
11010001011000001
Octal
321301
Hexadecimal
0x1A2C1
Base64
AaLB
One's complement
4,294,860,094 (32-bit)
Scientific notation
1.07201 × 10⁵
As a duration
107,201 s = 1 day, 5 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 12110001102
quaternary (4) 122023001
quinary (5) 11412301
senary (6) 2144145
septenary (7) 624353
nonary (9) 173042
undecimal (11) 735a6
duodecimal (12) 52055
tridecimal (13) 39a43
tetradecimal (14) 2b0d3
pentadecimal (15) 21b6b

As an angle

107,201° = 297 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ρζσαʹ
Mayan (base 20)
𝋭·𝋨·𝋠·𝋡
Chinese
十萬七千二百零一
Chinese (financial)
壹拾萬柒仟貳佰零壹
In other modern scripts
Eastern Arabic ١٠٧٢٠١ Devanagari १०७२०१ Bengali ১০৭২০১ Tamil ௧௦௭௨௦௧ Thai ๑๐๗๒๐๑ Tibetan ༡༠༧༢༠༡ Khmer ១០៧២០១ Lao ໑໐໗໒໐໑ Burmese ၁၀၇၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 107197.

Hex color
#01A2C1
RGB(1, 162, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.193.

Address
0.1.162.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.193

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 107,201 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 107201 first appears in π at position 951,927 of the decimal expansion (the 951,927ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.