1,010,100
1,010,100 is a composite number, even.
1,010,100 (one million ten thousand one hundred) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2² × 3 × 5² × 7 × 13 × 37. Its proper divisors sum to 2,684,108, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF69B4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 3
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 10,101
- Flips to (rotate 180°)
- 10,101
- Square (n²)
- 1,020,302,010,000
- Cube (n³)
- 1,030,607,060,301,000,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 3,694,208
- φ(n) — Euler's totient
- 207,360
- Sum of prime factors
- 74
Primality
Prime factorization: 2 2 × 3 × 5 2 × 7 × 13 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,010,100 = [1005; (26, 1, 4, 80, 4, 1, 26, 2010)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one million ten thousand one hundred
- Ordinal
- 1010100th
- Binary
- 11110110100110110100
- Octal
- 3664664
- Hexadecimal
- 0xF69B4
- Base64
- D2m0
- One's complement
- 4,293,957,195 (32-bit)
- Scientific notation
- 1.0101 × 10⁶
- As a duration
- 1,010,100 s = 11 days, 16 hours, 35 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓁨𓂍𓍢
- Chinese
- 一百零一萬零一百
- Chinese (financial)
- 壹佰零壹萬零壹佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010100, here are decompositions:
- 17 + 1010083 = 1010100
- 19 + 1010081 = 1010100
- 31 + 1010069 = 1010100
- 67 + 1010033 = 1010100
- 97 + 1010003 = 1010100
- 103 + 1009997 = 1010100
- 107 + 1009993 = 1010100
- 109 + 1009991 = 1010100
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.180.
- Address
- 0.15.105.180
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.105.180
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Friday, January 1, 0100 (MDDYYYY (US, single-digit month)).
Other possible interpretations (2)
- 0100-10-01 (MMDYYYY (US, single-digit day))
- 0100-01-10 (DDMYYYY (Euro, single-digit month))
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,010,100 and was likely granted around 1911.
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°.