111,000
111,000 is a composite number, even.
111,000 (one hundred eleven thousand) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5³ × 37. Its proper divisors sum to 244,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B198.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 3
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 111
- Flips to (rotate 180°)
- 111
- Recamán's sequence
- a(248,408) = 111,000
- Square (n²)
- 12,321,000,000
- Cube (n³)
- 1,367,631,000,000,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 355,680
- φ(n) — Euler's totient
- 28,800
- Sum of prime factors
- 61
Primality
Prime factorization: 2 3 × 3 × 5 3 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√111,000 = [333; (6, 666)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eleven thousand
- Ordinal
- 111000th
- Binary
- 11011000110011000
- Octal
- 330630
- Hexadecimal
- 0x1B198
- Base64
- AbGY
- One's complement
- 4,294,856,295 (32-bit)
- Scientific notation
- 1.11 × 10⁵
- As a duration
- 111,000 s = 1 day, 6 hours, 50 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼
- Greek (Milesian)
- ͵ρια
- Mayan (base 20)
- 𝋭·𝋱·𝋪·𝋠
- Chinese
- 一十一萬一千
- Chinese (financial)
- 壹拾壹萬壹仟
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 111000, here are decompositions:
- 11 + 110989 = 111000
- 23 + 110977 = 111000
- 31 + 110969 = 111000
- 53 + 110947 = 111000
- 61 + 110939 = 111000
- 67 + 110933 = 111000
- 73 + 110927 = 111000
- 79 + 110921 = 111000
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9B 86 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.177.152.
- Address
- 0.1.177.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.177.152
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 111,000 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.