100,180
100,180 is a composite number, even.
100,180 (one hundred thousand one hundred eighty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 5,009. Its proper divisors sum to 110,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x18754.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 81,001
- Flips to (rotate 180°)
- 81,001
- Square (n²)
- 10,036,032,400
- Cube (n³)
- 1,005,409,725,832,000
- Divisor count
- 12
- σ(n) — sum of divisors
- 210,420
- φ(n) — Euler's totient
- 40,064
- Sum of prime factors
- 5,018
Primality
Prime factorization: 2 2 × 5 × 5009
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√100,180 = [316; (1, 1, 19, 1, 11, 2, 5, 1, 10, 1, 1, 1, 38, 1, 9, 1, 3, 13, 1, 4, 3, 3, 5, 2, …)]
Representations
- In words
- one hundred thousand one hundred eighty
- Ordinal
- 100180th
- Binary
- 11000011101010100
- Octal
- 303524
- Hexadecimal
- 0x18754
- Base64
- AYdU
- One's complement
- 4,294,867,115 (32-bit)
- Scientific notation
- 1.0018 × 10⁵
- As a duration
- 100,180 s = 1 day, 3 hours, 49 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρρπʹ
- Mayan (base 20)
- 𝋬·𝋪·𝋩·𝋠
- Chinese
- 一十萬零一百八十
- Chinese (financial)
- 壹拾萬零壹佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100180, here are decompositions:
- 11 + 100169 = 100180
- 29 + 100151 = 100180
- 71 + 100109 = 100180
- 131 + 100049 = 100180
- 137 + 100043 = 100180
- 191 + 99989 = 100180
- 251 + 99929 = 100180
- 257 + 99923 = 100180
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 9D 94 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.84.
- Address
- 0.1.135.84
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.135.84
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 100,180 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 100180 first appears in π at position 176,038 of the decimal expansion (the 176,038ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.