120,100
120,100 is a composite number, even.
120,100 (one hundred twenty thousand one hundred) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 1,201. Its proper divisors sum to 140,734, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D524.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 4
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 1,021
- Recamán's sequence
- a(239,896) = 120,100
- Square (n²)
- 14,424,010,000
- Cube (n³)
- 1,732,323,601,000,000
- Divisor count
- 18
- σ(n) — sum of divisors
- 260,834
- φ(n) — Euler's totient
- 48,000
- Sum of prime factors
- 1,215
Primality
Prime factorization: 2 2 × 5 2 × 1201
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,100 = [346; (1, 1, 4, 11, 7, 7, 1, 1, 1, 4, 1, 8, 3, 2, 1, 2, 2, 1, 1, 7, 1, 32, 8, 4, …)]
Representations
- In words
- one hundred twenty thousand one hundred
- Ordinal
- 120100th
- Binary
- 11101010100100100
- Octal
- 352444
- Hexadecimal
- 0x1D524
- Base64
- AdUk
- One's complement
- 4,294,847,195 (32-bit)
- Scientific notation
- 1.201 × 10⁵
- As a duration
- 120,100 s = 1 day, 9 hours, 21 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢
- Greek (Milesian)
- ͵ρκρʹ
- Mayan (base 20)
- 𝋯·𝋠·𝋥·𝋠
- Chinese
- 一十二萬零一百
- Chinese (financial)
- 壹拾貳萬零壹佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120100, here are decompositions:
- 3 + 120097 = 120100
- 23 + 120077 = 120100
- 53 + 120047 = 120100
- 59 + 120041 = 120100
- 83 + 120017 = 120100
- 89 + 120011 = 120100
- 107 + 119993 = 120100
- 137 + 119963 = 120100
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 94 A4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.36.
- Address
- 0.1.213.36
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.213.36
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 120,100 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 120100 first appears in π at position 151,926 of the decimal expansion (the 151,926ordinal-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.