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101,701

101,701 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.).

101,701 (one hundred one 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, 0x18D45.

Arithmetic Number Centered Square Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
107,101
Square (n²)
10,343,093,401
Cube (n³)
1,051,902,941,975,101
Divisor count
2
σ(n) — sum of divisors
101,702
φ(n) — Euler's totient
101,700

Primality

101,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,701)
1 × 101701
First multiples
101,701 · 203,402 (double) · 305,103 · 406,804 · 508,505 · 610,206 · 711,907 · 813,608 · 915,309 · 1,017,010

Sums & aliquot sequence

As a sum of two squares: 225² + 226²
As consecutive integers: 50,850 + 50,851

Continued fraction of √n

√101,701 = [318; (1, 9, 1, 1, 1, 2, 1, 1, 14, 3, 1, 16, 2, 15, 14, 9, 5, 1, 3, 1, 7, 1, 16, 1, …)]

Representations

In words
one hundred one thousand seven hundred one
Ordinal
101701st
Binary
11000110101000101
Octal
306505
Hexadecimal
0x18D45
Base64
AY1F
One's complement
4,294,865,594 (32-bit)
Scientific notation
1.01701 × 10⁵
As a duration
101,701 s = 1 day, 4 hours, 15 minutes, 1 second
In other bases
ternary (3) 12011111201
quaternary (4) 120311011
quinary (5) 11223301
senary (6) 2102501
septenary (7) 602335
nonary (9) 164451
undecimal (11) 6a456
duodecimal (12) 4aa31
tridecimal (13) 373a2
tetradecimal (14) 290c5
pentadecimal (15) 20201

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ραψαʹ
Mayan (base 20)
𝋬·𝋮·𝋥·𝋡
Chinese
一十萬一千七百零一
Chinese (financial)
壹拾萬壹仟柒佰零壹
In other modern scripts
Eastern Arabic ١٠١٧٠١ Devanagari १०१७०१ Bengali ১০১৭০১ Tamil ௧௦௧௭௦௧ Thai ๑๐๑๗๐๑ Tibetan ༡༠༡༧༠༡ Khmer ១០១៧០១ Lao ໑໐໑໗໐໑ Burmese ၁၀၁၇၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#018D45
RGB(1, 141, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.69.

Address
0.1.141.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.141.69

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 101,701 and was likely granted around 1870.

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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.