113,220
113,220 is a composite number, even.
113,220 (one hundred thirteen thousand two hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 17 × 37. Its proper divisors sum to 260,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BA44.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 22,311
- Recamán's sequence
- a(246,136) = 113,220
- Square (n²)
- 12,818,768,400
- Cube (n³)
- 1,451,340,958,248,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 373,464
- φ(n) — Euler's totient
- 27,648
- Sum of prime factors
- 69
Primality
Prime factorization: 2 2 × 3 2 × 5 × 17 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√113,220 = [336; (2, 13, 4, 3, 1, 2, 1, 3, 1, 9, 1, 2, 1, 1, 1, 7, 1, 2, 18, 2, 1, 7, 1, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirteen thousand two hundred twenty
- Ordinal
- 113220th
- Binary
- 11011101001000100
- Octal
- 335104
- Hexadecimal
- 0x1BA44
- Base64
- AbpE
- One's complement
- 4,294,854,075 (32-bit)
- Scientific notation
- 1.1322 × 10⁵
- As a duration
- 113,220 s = 1 day, 7 hours, 27 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριγσκʹ
- Mayan (base 20)
- 𝋮·𝋣·𝋡·𝋠
- Chinese
- 一十一萬三千二百二十
- Chinese (financial)
- 壹拾壹萬參仟貳佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113220, here are decompositions:
- 7 + 113213 = 113220
- 11 + 113209 = 113220
- 31 + 113189 = 113220
- 43 + 113177 = 113220
- 47 + 113173 = 113220
- 53 + 113167 = 113220
- 59 + 113161 = 113220
- 61 + 113159 = 113220
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.68.
- Address
- 0.1.186.68
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.186.68
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 113,220 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 113220 first appears in π at position 258,331 of the decimal expansion (the 258,331ordinal-suffix:st 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.