101,040
101,040 is a composite number, even.
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 40,101
- Square (n²)
- 10,209,081,600
- Cube (n³)
- 1,031,525,604,864,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 313,968
- φ(n) — Euler's totient
- 26,880
- Sum of prime factors
- 437
Primality
Prime factorization: 2 4 × 3 × 5 × 421
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√101,040 = [317; (1, 6, 1, 1, 3, 12, 1, 2, 4, 5, 42, 5, 4, 2, 1, 12, 3, 1, 1, 6, 1, 634)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred one thousand forty
- Ordinal
- 101040th
- Binary
- 11000101010110000
- Octal
- 305260
- Hexadecimal
- 0x18AB0
- Base64
- AYqw
- One's complement
- 4,294,866,255 (32-bit)
- Scientific notation
- 1.0104 × 10⁵
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ραμʹ
- Mayan (base 20)
- 𝋬·𝋬·𝋬·𝋠
- Chinese
- 一十萬一千零四十
- Chinese (financial)
- 壹拾萬壹仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101040, here are decompositions:
- 13 + 101027 = 101040
- 19 + 101021 = 101040
- 31 + 101009 = 101040
- 41 + 100999 = 101040
- 53 + 100987 = 101040
- 59 + 100981 = 101040
- 83 + 100957 = 101040
- 97 + 100943 = 101040
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 AA B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.176.
- Address
- 0.1.138.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.138.176
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 101,040 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 101040 first appears in π at position 281,171 of the decimal expansion (the 281,171ordinal-suffix:st 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.