101,720
101,720 is a composite number, even.
101,720 (one hundred one thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 2,543. Its proper divisors sum to 127,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x18D58.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 27,101
- Square (n²)
- 10,346,958,400
- Cube (n³)
- 1,052,492,608,448,000
- Divisor count
- 16
- σ(n) — sum of divisors
- 228,960
- φ(n) — Euler's totient
- 40,672
- Sum of prime factors
- 2,554
Primality
Prime factorization: 2 3 × 5 × 2543
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√101,720 = [318; (1, 14, 1, 1, 3, 1, 2, 2, 2, 1, 10, 1, 8, 14, 2, 1, 1, 2, 20, 5, 4, 2, 31, 2, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred one thousand seven hundred twenty
- Ordinal
- 101720th
- Binary
- 11000110101011000
- Octal
- 306530
- Hexadecimal
- 0x18D58
- Base64
- AY1Y
- One's complement
- 4,294,865,575 (32-bit)
- Scientific notation
- 1.0172 × 10⁵
- As a duration
- 101,720 s = 1 day, 4 hours, 15 minutes, 20 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ραψκʹ
- Mayan (base 20)
- 𝋬·𝋮·𝋦·𝋠
- Chinese
- 一十萬一千七百二十
- Chinese (financial)
- 壹拾萬壹仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101720, here are decompositions:
- 19 + 101701 = 101720
- 67 + 101653 = 101720
- 79 + 101641 = 101720
- 109 + 101611 = 101720
- 139 + 101581 = 101720
- 193 + 101527 = 101720
- 271 + 101449 = 101720
- 337 + 101383 = 101720
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.88.
- Address
- 0.1.141.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.141.88
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 101,720 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.