number.wiki
Live analysis

138,101

138,101 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.).

138,101 (one hundred thirty-eight thousand one hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B75.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy 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
101,831
Recamán's sequence
a(492,625) = 138,101
Square (n²)
19,071,886,201
Cube (n³)
2,633,846,556,244,301
Divisor count
2
σ(n) — sum of divisors
138,102
φ(n) — Euler's totient
138,100

Primality

138,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,101)
1 × 138101
First multiples
138,101 · 276,202 (double) · 414,303 · 552,404 · 690,505 · 828,606 · 966,707 · 1,104,808 · 1,242,909 · 1,381,010

Sums & aliquot sequence

As a sum of two squares: 226² + 295²
As consecutive integers: 69,050 + 69,051

Continued fraction of √n

√138,101 = [371; (1, 1, 1, 1, 1, 2, 5, 1, 1, 3, 2, 1, 6, 1, 1, 11, 1, 1, 1, 5, 1, 4, 7, 4, …)]

Representations

In words
one hundred thirty-eight thousand one hundred one
Ordinal
138101st
Binary
100001101101110101
Octal
415565
Hexadecimal
0x21B75
Base64
Aht1
One's complement
4,294,829,194 (32-bit)
Scientific notation
1.38101 × 10⁵
As a duration
138,101 s = 1 day, 14 hours, 21 minutes, 41 seconds
In other bases
ternary (3) 21000102212
quaternary (4) 201231311
quinary (5) 13404401
senary (6) 2543205
septenary (7) 1113425
nonary (9) 230385
undecimal (11) 94837
duodecimal (12) 67b05
tridecimal (13) 4ab22
tetradecimal (14) 38485
pentadecimal (15) 2adbb

As an angle

138,101° = 383 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Greek (Milesian)
͵ρληραʹ
Mayan (base 20)
𝋱·𝋥·𝋥·𝋡
Chinese
一十三萬八千一百零一
Chinese (financial)
壹拾參萬捌仟壹佰零壹
In other modern scripts
Eastern Arabic ١٣٨١٠١ Devanagari १३८१०१ Bengali ১৩৮১০১ Tamil ௧௩௮௧௦௧ Thai ๑๓๘๑๐๑ Tibetan ༡༣༨༡༠༡ Khmer ១៣៨១០១ Lao ໑໓໘໑໐໑ Burmese ၁၃၈၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138107.

Unicode codepoint
𡭵
CJK Unified Ideograph-21B75
U+21B75
Other letter (Lo)

UTF-8 encoding: F0 A1 AD B5 (4 bytes).

Hex color
#021B75
RGB(2, 27, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.117.

Address
0.2.27.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.117

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 138,101 and was likely granted around 1872.

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

Position in π

The digit sequence 138101 first appears in π at position 266,306 of the decimal expansion (the 266,306ordinal-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.