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113,152

113,152 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.).

113,152 (one hundred thirteen thousand one hundred fifty-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 13 × 17. Its proper divisors sum to 144,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BA00.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
30
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
251,311
Recamán's sequence
a(246,272) = 113,152
Square (n²)
12,803,375,104
Cube (n³)
1,448,727,499,767,808
Divisor count
40
σ(n) — sum of divisors
257,796
φ(n) — Euler's totient
49,152
Sum of prime factors
48

Primality

Prime factorization: 2 9 × 13 × 17

Nearest primes: 113,149 (−3) · 113,153 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 13 · 16 · 17 · 26 · 32 · 34 · 52 · 64 · 68 · 104 · 128 · 136 · 208 · 221 · 256 · 272 · 416 · 442 · 512 · 544 · 832 · 884 · 1088 · 1664 · 1768 · 2176 · 3328 · 3536 · 4352 · 6656 · 7072 · 8704 · 14144 · 28288 · 56576 (half) · 113152
Aliquot sum (sum of proper divisors): 144,644
Factor pairs (a × b = 113,152)
1 × 113152
2 × 56576
4 × 28288
8 × 14144
13 × 8704
16 × 7072
17 × 6656
26 × 4352
32 × 3536
34 × 3328
52 × 2176
64 × 1768
68 × 1664
104 × 1088
128 × 884
136 × 832
208 × 544
221 × 512
256 × 442
272 × 416
First multiples
113,152 · 226,304 (double) · 339,456 · 452,608 · 565,760 · 678,912 · 792,064 · 905,216 · 1,018,368 · 1,131,520

Sums & aliquot sequence

As a sum of two squares: 16² + 336² = 144² + 304²
As consecutive integers: 8,698 + 8,699 + … + 8,710 6,648 + 6,649 + … + 6,664 402 + 403 + … + 622
Aliquot sequence: 113,152 144,644 108,490 97,430 77,962 45,914 29,254 14,630 19,930 15,962 9,094 4,550 5,866 4,214 3,310 2,666 1,558 — unresolved within range

Continued fraction of √n

√113,152 = [336; (2, 1, 1, 1, 2, 10, 7, 1, 1, 1, 3, 41, 1, 3, 2, 2, 1, 1, 1, 9, 1, 7, 2, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand one hundred fifty-two
Ordinal
113152nd
Binary
11011101000000000
Octal
335000
Hexadecimal
0x1BA00
Base64
AboA
One's complement
4,294,854,143 (32-bit)
Scientific notation
1.13152 × 10⁵
As a duration
113,152 s = 1 day, 7 hours, 25 minutes, 52 seconds
In other bases
ternary (3) 12202012211
quaternary (4) 123220000
quinary (5) 12110102
senary (6) 2231504
septenary (7) 650614
nonary (9) 182184
undecimal (11) 78016
duodecimal (12) 55594
tridecimal (13) 3c670
tetradecimal (14) 2d344
pentadecimal (15) 237d7

As an angle

113,152° = 314 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγρνβʹ
Mayan (base 20)
𝋮·𝋢·𝋱·𝋬
Chinese
一十一萬三千一百五十二
Chinese (financial)
壹拾壹萬參仟壹佰伍拾貳
In other modern scripts
Eastern Arabic ١١٣١٥٢ Devanagari ११३१५२ Bengali ১১৩১৫২ Tamil ௧௧௩௧௫௨ Thai ๑๑๓๑๕๒ Tibetan ༡༡༣༡༥༢ Khmer ១១៣១៥២ Lao ໑໑໓໑໕໒ Burmese ၁၁၃၁၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113152, here are decompositions:

  • 3 + 113149 = 113152
  • 5 + 113147 = 113152
  • 29 + 113123 = 113152
  • 41 + 113111 = 113152
  • 59 + 113093 = 113152
  • 71 + 113081 = 113152
  • 89 + 113063 = 113152
  • 101 + 113051 = 113152

Showing the first eight; more decompositions exist.

Hex color
#01BA00
RGB(1, 186, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.0.

Address
0.1.186.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.0

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 113,152 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 113152 first appears in π at position 160,117 of the decimal expansion (the 160,117ordinal-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