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123,136

123,136 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.).

123,136 (one hundred twenty-three thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 13 × 37. Its proper divisors sum to 148,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E100.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
108
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
631,321
Square (n²)
15,162,474,496
Cube (n³)
1,867,046,459,539,456
Divisor count
36
σ(n) — sum of divisors
271,852
φ(n) — Euler's totient
55,296
Sum of prime factors
66

Primality

Prime factorization: 2 8 × 13 × 37

Nearest primes: 123,127 (−9) · 123,143 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 37 · 52 · 64 · 74 · 104 · 128 · 148 · 208 · 256 · 296 · 416 · 481 · 592 · 832 · 962 · 1184 · 1664 · 1924 · 2368 · 3328 · 3848 · 4736 · 7696 · 9472 · 15392 · 30784 · 61568 (half) · 123136
Aliquot sum (sum of proper divisors): 148,716
Factor pairs (a × b = 123,136)
1 × 123136
2 × 61568
4 × 30784
8 × 15392
13 × 9472
16 × 7696
26 × 4736
32 × 3848
37 × 3328
52 × 2368
64 × 1924
74 × 1664
104 × 1184
128 × 962
148 × 832
208 × 592
256 × 481
296 × 416
First multiples
123,136 · 246,272 (double) · 369,408 · 492,544 · 615,680 · 738,816 · 861,952 · 985,088 · 1,108,224 · 1,231,360

Sums & aliquot sequence

As a sum of two squares: 144² + 320² = 240² + 256²
As consecutive integers: 9,466 + 9,467 + … + 9,478 3,310 + 3,311 + … + 3,346 16 + 17 + … + 496
Aliquot sequence: 123,136 148,716 264,564 404,286 423,618 488,958 496,002 572,478 572,490 916,218 1,278,342 1,811,514 1,951,206 1,951,218 2,276,460 4,629,348 7,583,580 — unresolved within range

Continued fraction of √n

√123,136 = [350; (1, 9, 1, 3, 1, 27, 3, 1, 1, 1, 1, 1, 2, 8, 3, 1, 1, 6, 2, 4, 2, 2, 4, 175, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-three thousand one hundred thirty-six
Ordinal
123136th
Binary
11110000100000000
Octal
360400
Hexadecimal
0x1E100
Base64
AeEA
One's complement
4,294,844,159 (32-bit)
Scientific notation
1.23136 × 10⁵
As a duration
123,136 s = 1 day, 10 hours, 12 minutes, 16 seconds
In other bases
ternary (3) 20020220121
quaternary (4) 132010000
quinary (5) 12420021
senary (6) 2350024
septenary (7) 1021666
nonary (9) 206817
undecimal (11) 84572
duodecimal (12) 5b314
tridecimal (13) 44080
tetradecimal (14) 32c36
pentadecimal (15) 26741

As an angle

123,136° = 342 × 360° + 16°
16° ≈ 0.279 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκγρλϛʹ
Mayan (base 20)
𝋯·𝋧·𝋰·𝋰
Chinese
一十二萬三千一百三十六
Chinese (financial)
壹拾貳萬參仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١٢٣١٣٦ Devanagari १२३१३६ Bengali ১২৩১৩৬ Tamil ௧௨௩௧௩௬ Thai ๑๒๓๑๓๖ Tibetan ༡༢༣༡༣༦ Khmer ១២៣១៣៦ Lao ໑໒໓໑໓໖ Burmese ၁၂၃၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 123136, here are decompositions:

  • 23 + 123113 = 123136
  • 53 + 123083 = 123136
  • 59 + 123077 = 123136
  • 173 + 122963 = 123136
  • 179 + 122957 = 123136
  • 197 + 122939 = 123136
  • 269 + 122867 = 123136
  • 317 + 122819 = 123136

Showing the first eight; more decompositions exist.

Unicode codepoint
𞄀
Nyiakeng Puachue Hmong Letter Ma
U+1E100
Other letter (Lo)

UTF-8 encoding: F0 9E 84 80 (4 bytes).

Hex color
#01E100
RGB(1, 225, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.225.0.

Address
0.1.225.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.225.0

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 123,136 and was likely granted around 1871.

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

Position in π

The digit sequence 123136 first appears in π at position 58,665 of the decimal expansion (the 58,665ordinal-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