number.wiki
Live analysis

138,113

138,113 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.).

138,113 (one hundred thirty-eight thousand one hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B81.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
72
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
311,831
Recamán's sequence
a(492,601) = 138,113
Square (n²)
19,075,200,769
Cube (n³)
2,634,533,203,808,897
Divisor count
2
σ(n) — sum of divisors
138,114
φ(n) — Euler's totient
138,112

Primality

138,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,113)
1 × 138113
First multiples
138,113 · 276,226 (double) · 414,339 · 552,452 · 690,565 · 828,678 · 966,791 · 1,104,904 · 1,243,017 · 1,381,130

Sums & aliquot sequence

As a sum of two squares: 167² + 332²
As consecutive integers: 69,056 + 69,057

Continued fraction of √n

√138,113 = [371; (1, 1, 1, 2, 1, 9, 1, 2, 1, 6, 2, 8, 2, 23, 1, 1, 56, 1, 1, 1, 45, 1, 3, 1, …)]

Representations

In words
one hundred thirty-eight thousand one hundred thirteen
Ordinal
138113th
Binary
100001101110000001
Octal
415601
Hexadecimal
0x21B81
Base64
AhuB
One's complement
4,294,829,182 (32-bit)
Scientific notation
1.38113 × 10⁵
As a duration
138,113 s = 1 day, 14 hours, 21 minutes, 53 seconds
In other bases
ternary (3) 21000110022
quaternary (4) 201232001
quinary (5) 13404423
senary (6) 2543225
septenary (7) 1113443
nonary (9) 230408
undecimal (11) 94848
duodecimal (12) 67b15
tridecimal (13) 4ab31
tetradecimal (14) 38493
pentadecimal (15) 2adc8

As an angle

138,113° = 383 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρληριγʹ
Mayan (base 20)
𝋱·𝋥·𝋥·𝋭
Chinese
一十三萬八千一百一十三
Chinese (financial)
壹拾參萬捌仟壹佰壹拾參
In other modern scripts
Eastern Arabic ١٣٨١١٣ Devanagari १३८११३ Bengali ১৩৮১১৩ Tamil ௧௩௮௧௧௩ Thai ๑๓๘๑๑๓ Tibetan ༡༣༨༡༡༣ Khmer ១៣៨១១៣ Lao ໑໓໘໑໑໓ Burmese ၁၃၈၁၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138107.

Unicode codepoint
𡮁
CJK Unified Ideograph-21B81
U+21B81
Other letter (Lo)

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

Hex color
#021B81
RGB(2, 27, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.129.

Address
0.2.27.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.129

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 138,113 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.