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138,100

138,100 is a composite number, even.

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.).

138,100 (one hundred thirty-eight thousand one hundred) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 1,381. Its proper divisors sum to 161,794, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B74.

Abundant Number Cube-Free Gapful Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
1,831
Recamán's sequence
a(492,627) = 138,100
Square (n²)
19,071,610,000
Cube (n³)
2,633,789,341,000,000
Divisor count
18
σ(n) — sum of divisors
299,894
φ(n) — Euler's totient
55,200
Sum of prime factors
1,395

Primality

Prime factorization: 2 2 × 5 2 × 1381

Nearest primes: 138,079 (−21) · 138,101 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 1381 · 2762 · 5524 · 6905 · 13810 · 27620 · 34525 · 69050 (half) · 138100
Aliquot sum (sum of proper divisors): 161,794
Factor pairs (a × b = 138,100)
1 × 138100
2 × 69050
4 × 34525
5 × 27620
10 × 13810
20 × 6905
25 × 5524
50 × 2762
100 × 1381
First multiples
138,100 · 276,200 (double) · 414,300 · 552,400 · 690,500 · 828,600 · 966,700 · 1,104,800 · 1,242,900 · 1,381,000

Sums & aliquot sequence

As a sum of two squares: 84² + 362² = 150² + 340² = 182² + 324²
As consecutive integers: 27,618 + 27,619 + 27,620 + 27,621 + 27,622 17,259 + 17,260 + … + 17,266 5,512 + 5,513 + … + 5,536 3,433 + 3,434 + … + 3,472
Aliquot sequence: 138,100 161,794 80,900 94,870 80,090 64,090 71,990 63,658 45,494 27,502 13,754 9,472 9,946 4,976 4,696 4,124 3,100 — unresolved within range

Continued fraction of √n

√138,100 = [371; (1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 11, 2, 4, 1, 3, 1, 3, 1, 34, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand one hundred
Ordinal
138100th
Binary
100001101101110100
Octal
415564
Hexadecimal
0x21B74
Base64
Aht0
One's complement
4,294,829,195 (32-bit)
Scientific notation
1.381 × 10⁵
As a duration
138,100 s = 1 day, 14 hours, 21 minutes, 40 seconds
In other bases
ternary (3) 21000102211
quaternary (4) 201231310
quinary (5) 13404400
senary (6) 2543204
septenary (7) 1113424
nonary (9) 230384
undecimal (11) 94836
duodecimal (12) 67b04
tridecimal (13) 4ab21
tetradecimal (14) 38484
pentadecimal (15) 2adba

As an angle

138,100° = 383 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢
Greek (Milesian)
͵ρληρʹ
Mayan (base 20)
𝋱·𝋥·𝋥·𝋠
Chinese
一十三萬八千一百
Chinese (financial)
壹拾參萬捌仟壹佰
In other modern scripts
Eastern Arabic ١٣٨١٠٠ Devanagari १३८१०० Bengali ১৩৮১০০ Tamil ௧௩௮௧௦௦ Thai ๑๓๘๑๐๐ Tibetan ༡༣༨༡༠༠ Khmer ១៣៨១០០ Lao ໑໓໘໑໐໐ Burmese ၁၃၈၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138100, here are decompositions:

  • 23 + 138077 = 138100
  • 29 + 138071 = 138100
  • 41 + 138059 = 138100
  • 47 + 138053 = 138100
  • 59 + 138041 = 138100
  • 101 + 137999 = 138100
  • 107 + 137993 = 138100
  • 167 + 137933 = 138100

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭴
CJK Unified Ideograph-21B74
U+21B74
Other letter (Lo)

UTF-8 encoding: F0 A1 AD B4 (4 bytes).

Hex color
#021B74
RGB(2, 27, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.116.

Address
0.2.27.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.116

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 138,100 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