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102,001

102,001 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.).

102,001 (one hundred 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, 0x18E71.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
100,201
Square (n²)
10,404,204,001
Cube (n³)
1,061,239,212,306,001
Divisor count
2
σ(n) — sum of divisors
102,002
φ(n) — Euler's totient
102,000

Primality

102,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 102001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 102,001)
1 × 102001
First multiples
102,001 · 204,002 (double) · 306,003 · 408,004 · 510,005 · 612,006 · 714,007 · 816,008 · 918,009 · 1,020,010

Sums & aliquot sequence

As a sum of two squares: 200² + 249²
As consecutive integers: 51,000 + 51,001

Continued fraction of √n

√102,001 = [319; (2, 1, 1, 1, 15, 1, 3, 19, 9, 1, 3, 2, 4, 42, 2, 1, 3, 1, 3, 3, 1, 1, 6, 11, …)]

Representations

In words
one hundred two thousand one
Ordinal
102001st
Binary
11000111001110001
Octal
307161
Hexadecimal
0x18E71
Base64
AY5x
One's complement
4,294,865,294 (32-bit)
Scientific notation
1.02001 × 10⁵
As a duration
102,001 s = 1 day, 4 hours, 20 minutes, 1 second
In other bases
ternary (3) 12011220211
quaternary (4) 120321301
quinary (5) 11231001
senary (6) 2104121
septenary (7) 603244
nonary (9) 164824
undecimal (11) 6a6a9
duodecimal (12) 4b041
tridecimal (13) 37573
tetradecimal (14) 2925b
pentadecimal (15) 20351
Palindromic in base 13

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓏺
Greek (Milesian)
͵ρβαʹ
Mayan (base 20)
𝋬·𝋯·𝋠·𝋡
Chinese
一十萬二千零一
Chinese (financial)
壹拾萬貳仟零壹
In other modern scripts
Eastern Arabic ١٠٢٠٠١ Devanagari १०२००१ Bengali ১০২০০১ Tamil ௧௦௨௦௦௧ Thai ๑๐๒๐๐๑ Tibetan ༡༠༢༠༠༡ Khmer ១០២០០១ Lao ໑໐໒໐໐໑ Burmese ၁၀၂၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 101999.

Hex color
#018E71
RGB(1, 142, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.142.113.

Address
0.1.142.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.142.113

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 102,001 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.