121,616
121,616 is a composite number, even.
121,616 (one hundred twenty-one thousand six hundred sixteen) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 691. Its proper divisors sum to 135,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DB10.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 72
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 616,121
- Square (n²)
- 14,790,451,456
- Cube (n³)
- 1,798,755,544,272,896
- Divisor count
- 20
- σ(n) — sum of divisors
- 257,424
- φ(n) — Euler's totient
- 55,200
- Sum of prime factors
- 710
Primality
Prime factorization: 2 4 × 11 × 691
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√121,616 = [348; (1, 2, 1, 3, 2, 1, 1, 1, 6, 1, 2, 2, 15, 2, 2, 1, 6, 1, 1, 1, 2, 3, 1, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-one thousand six hundred sixteen
- Ordinal
- 121616th
- Binary
- 11101101100010000
- Octal
- 355420
- Hexadecimal
- 0x1DB10
- Base64
- AdsQ
- One's complement
- 4,294,845,679 (32-bit)
- Scientific notation
- 1.21616 × 10⁵
- As a duration
- 121,616 s = 1 day, 9 hours, 46 minutes, 56 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκαχιϛʹ
- Mayan (base 20)
- 𝋯·𝋤·𝋠·𝋰
- Chinese
- 一十二萬一千六百一十六
- Chinese (financial)
- 壹拾貳萬壹仟陸佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121616, here are decompositions:
- 7 + 121609 = 121616
- 37 + 121579 = 121616
- 109 + 121507 = 121616
- 163 + 121453 = 121616
- 283 + 121333 = 121616
- 307 + 121309 = 121616
- 349 + 121267 = 121616
- 577 + 121039 = 121616
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.16.
- Address
- 0.1.219.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.219.16
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 121,616 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 121616 first appears in π at position 167,187 of the decimal expansion (the 167,187ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.