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139,201

139,201 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.).

139,201 (one hundred thirty-nine 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, 0x21FC1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
102,931
Recamán's sequence
a(490,425) = 139,201
Square (n²)
19,376,918,401
Cube (n³)
2,697,286,418,337,601
Divisor count
2
σ(n) — sum of divisors
139,202
φ(n) — Euler's totient
139,200

Primality

139,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,201)
1 × 139201
First multiples
139,201 · 278,402 (double) · 417,603 · 556,804 · 696,005 · 835,206 · 974,407 · 1,113,608 · 1,252,809 · 1,392,010

Sums & aliquot sequence

As a sum of two squares: 185² + 324²
As consecutive integers: 69,600 + 69,601

Continued fraction of √n

√139,201 = [373; (10, 2, 1, 3, 6, 1, 2, 2, 1, 4, 1, 2, 1, 12, 2, 1, 5, 9, 6, 1, 1, 1, 1, 2, …)]

Representations

In words
one hundred thirty-nine thousand two hundred one
Ordinal
139201st
Binary
100001111111000001
Octal
417701
Hexadecimal
0x21FC1
Base64
Ah/B
One's complement
4,294,828,094 (32-bit)
Scientific notation
1.39201 × 10⁵
As a duration
139,201 s = 1 day, 14 hours, 40 minutes, 1 second
In other bases
ternary (3) 21001221121
quaternary (4) 201333001
quinary (5) 13423301
senary (6) 2552241
septenary (7) 1116556
nonary (9) 231847
undecimal (11) 95647
duodecimal (12) 68681
tridecimal (13) 4b48a
tetradecimal (14) 38a2d
pentadecimal (15) 2b3a1

As an angle

139,201° = 386 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ρλθσαʹ
Mayan (base 20)
𝋱·𝋨·𝋠·𝋡
Chinese
一十三萬九千二百零一
Chinese (financial)
壹拾參萬玖仟貳佰零壹
In other modern scripts
Eastern Arabic ١٣٩٢٠١ Devanagari १३९२०१ Bengali ১৩৯২০১ Tamil ௧௩௯௨௦௧ Thai ๑๓๙๒๐๑ Tibetan ༡༣༩༢༠༡ Khmer ១៣៩២០១ Lao ໑໓໙໒໐໑ Burmese ၁၃၉၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 139199.

Unicode codepoint
𡿁
CJK Unified Ideograph-21Fc1
U+21FC1
Other letter (Lo)

UTF-8 encoding: F0 A1 BF 81 (4 bytes).

Hex color
#021FC1
RGB(2, 31, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.31.193.

Address
0.2.31.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.31.193

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 139,201 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.