101,048
101,048 is a composite number, even.
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 840,101
- Square (n²)
- 10,210,698,304
- Cube (n³)
- 1,031,770,642,222,592
- Divisor count
- 16
- σ(n) — sum of divisors
- 200,880
- φ(n) — Euler's totient
- 47,488
- Sum of prime factors
- 766
Primality
Prime factorization: 2 3 × 17 × 743
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√101,048 = [317; (1, 7, 2, 1, 2, 1, 1, 1, 5, 2, 11, 1, 3, 3, 2, 3, 1, 2, 1, 78, 1, 2, 1, 3, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred one thousand forty-eight
- Ordinal
- 101048th
- Binary
- 11000101010111000
- Octal
- 305270
- Hexadecimal
- 0x18AB8
- Base64
- AYq4
- One's complement
- 4,294,866,247 (32-bit)
- Scientific notation
- 1.01048 × 10⁵
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ραμηʹ
- Mayan (base 20)
- 𝋬·𝋬·𝋬·𝋨
- Chinese
- 一十萬一千零四十八
- Chinese (financial)
- 壹拾萬壹仟零肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101048, here are decompositions:
- 61 + 100987 = 101048
- 67 + 100981 = 101048
- 307 + 100741 = 101048
- 349 + 100699 = 101048
- 379 + 100669 = 101048
- 439 + 100609 = 101048
- 457 + 100591 = 101048
- 499 + 100549 = 101048
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 AA B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.184.
- Address
- 0.1.138.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.138.184
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 101,048 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.
Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.
The digit sequence 101048 first appears in π at position 353,507 of the decimal expansion (the 353,507ordinal-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.