100,220
100,220 is a composite number, even.
100,220 (one hundred thousand two hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 5,011. Its proper divisors sum to 110,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1877C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 5
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 22,001
- Square (n²)
- 10,044,048,400
- Cube (n³)
- 1,006,614,530,648,000
- Divisor count
- 12
- σ(n) — sum of divisors
- 210,504
- φ(n) — Euler's totient
- 40,080
- Sum of prime factors
- 5,020
Primality
Prime factorization: 2 2 × 5 × 5011
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√100,220 = [316; (1, 1, 2, 1, 4, 2, 1, 1, 4, 4, 6, 1, 2, 1, 1, 2, 1, 1, 1, 9, 1, 2, 1, 21, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thousand two hundred twenty
- Ordinal
- 100220th
- Binary
- 11000011101111100
- Octal
- 303574
- Hexadecimal
- 0x1877C
- Base64
- AYd8
- One's complement
- 4,294,867,075 (32-bit)
- Scientific notation
- 1.0022 × 10⁵
- As a duration
- 100,220 s = 1 day, 3 hours, 50 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρσκʹ
- Mayan (base 20)
- 𝋬·𝋪·𝋫·𝋠
- Chinese
- 一十萬零二百二十
- Chinese (financial)
- 壹拾萬零貳佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100220, here are decompositions:
- 7 + 100213 = 100220
- 13 + 100207 = 100220
- 31 + 100189 = 100220
- 37 + 100183 = 100220
- 67 + 100153 = 100220
- 151 + 100069 = 100220
- 163 + 100057 = 100220
- 229 + 99991 = 100220
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 9D BC (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.124.
- Address
- 0.1.135.124
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.135.124
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 100,220 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 100220 first appears in π at position 131,131 of the decimal expansion (the 131,131ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.