103,120
103,120 is a composite number, even.
103,120 (one hundred three thousand one hundred twenty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,289. Its proper divisors sum to 136,820, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x192D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 7
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,301
- Recamán's sequence
- a(96,491) = 103,120
- Square (n²)
- 10,633,734,400
- Cube (n³)
- 1,096,550,691,328,000
- Divisor count
- 20
- σ(n) — sum of divisors
- 239,940
- φ(n) — Euler's totient
- 41,216
- Sum of prime factors
- 1,302
Primality
Prime factorization: 2 4 × 5 × 1289
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√103,120 = [321; (8, 7, 1, 4, 9, 1, 4, 1, 7, 1, 1, 1, 1, 1, 2, 1, 1, 9, 2, 5, 16, 3, 1, 1, …)]
Period length 50 — the block in parentheses repeats forever.
Representations
- In words
- one hundred three thousand one hundred twenty
- Ordinal
- 103120th
- Binary
- 11001001011010000
- Octal
- 311320
- Hexadecimal
- 0x192D0
- Base64
- AZLQ
- One's complement
- 4,294,864,175 (32-bit)
- Scientific notation
- 1.0312 × 10⁵
- As a duration
- 103,120 s = 1 day, 4 hours, 38 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ργρκʹ
- Mayan (base 20)
- 𝋬·𝋱·𝋰·𝋠
- Chinese
- 一十萬三千一百二十
- Chinese (financial)
- 壹拾萬參仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103120, here are decompositions:
- 29 + 103091 = 103120
- 41 + 103079 = 103120
- 53 + 103067 = 103120
- 71 + 103049 = 103120
- 113 + 103007 = 103120
- 137 + 102983 = 103120
- 167 + 102953 = 103120
- 191 + 102929 = 103120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.146.208.
- Address
- 0.1.146.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.146.208
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 103,120 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 103120 first appears in π at position 238,957 of the decimal expansion (the 238,957ordinal-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.