101,006
101,006 is a composite number, even.
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 600,101
- Flips to (rotate 180°)
- 900,101
- Square (n²)
- 10,202,212,036
- Cube (n³)
- 1,030,484,628,908,216
- Divisor count
- 4
- σ(n) — sum of divisors
- 151,512
- φ(n) — Euler's totient
- 50,502
- Sum of prime factors
- 50,505
Primality
Prime factorization: 2 × 50503
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√101,006 = [317; (1, 4, 2, 1, 1, 2, 1, 4, 5, 1, 23, 1, 1, 1, 1, 4, 3, 1, 126, 2, 1, 3, 10, 1, …)]
Representations
- In words
- one hundred one thousand six
- Ordinal
- 101006th
- Binary
- 11000101010001110
- Octal
- 305216
- Hexadecimal
- 0x18A8E
- Base64
- AYqO
- One's complement
- 4,294,866,289 (32-bit)
- Scientific notation
- 1.01006 × 10⁵
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ραϛʹ
- Mayan (base 20)
- 𝋬·𝋬·𝋪·𝋦
- Chinese
- 一十萬一千零六
- Chinese (financial)
- 壹拾萬壹仟零陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101006, here are decompositions:
- 7 + 100999 = 101006
- 19 + 100987 = 101006
- 79 + 100927 = 101006
- 307 + 100699 = 101006
- 313 + 100693 = 101006
- 337 + 100669 = 101006
- 397 + 100609 = 101006
- 457 + 100549 = 101006
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 AA 8E (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.142.
- Address
- 0.1.138.142
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.138.142
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 101,006 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.
Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.
The digit sequence 101006 first appears in π at position 47,333 of the decimal expansion (the 47,333ordinal-suffix:rd 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.