121,088
121,088 is a composite number, even.
121,088 (one hundred twenty-one thousand eighty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 11 × 43. Its proper divisors sum to 148,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D900.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 880,121
- Square (n²)
- 14,662,303,744
- Cube (n³)
- 1,775,429,035,753,472
- Divisor count
- 36
- σ(n) — sum of divisors
- 269,808
- φ(n) — Euler's totient
- 53,760
- Sum of prime factors
- 70
Primality
Prime factorization: 2 8 × 11 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√121,088 = [347; (1, 42, 2, 173, 2, 42, 1, 694)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-one thousand eighty-eight
- Ordinal
- 121088th
- Binary
- 11101100100000000
- Octal
- 354400
- Hexadecimal
- 0x1D900
- Base64
- AdkA
- One's complement
- 4,294,846,207 (32-bit)
- Scientific notation
- 1.21088 × 10⁵
- As a duration
- 121,088 s = 1 day, 9 hours, 38 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκαπηʹ
- Mayan (base 20)
- 𝋯·𝋢·𝋮·𝋨
- Chinese
- 一十二萬一千零八十八
- Chinese (financial)
- 壹拾貳萬壹仟零捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121088, here are decompositions:
- 7 + 121081 = 121088
- 67 + 121021 = 121088
- 151 + 120937 = 121088
- 181 + 120907 = 121088
- 199 + 120889 = 121088
- 211 + 120877 = 121088
- 241 + 120847 = 121088
- 271 + 120817 = 121088
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D A4 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.0.
- Address
- 0.1.217.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.217.0
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 121,088 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 121088 first appears in π at position 68,811 of the decimal expansion (the 68,811ordinal-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.