101,400
101,400 is a composite number, even.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 4,101
- Square (n²)
- 10,281,960,000
- Cube (n³)
- 1,042,590,744,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 340,380
- φ(n) — Euler's totient
- 24,960
- Sum of prime factors
- 45
Primality
Prime factorization: 2 3 × 3 × 5 2 × 13 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√101,400 = [318; (2, 3, 3, 1, 2, 1, 1, 3, 5, 4, 1, 2, 1, 24, 1, 2, 1, 4, 5, 3, 1, 1, 2, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred one thousand four hundred
- Ordinal
- 101400th
- Binary
- 11000110000011000
- Octal
- 306030
- Hexadecimal
- 0x18C18
- Base64
- AYwY
- One's complement
- 4,294,865,895 (32-bit)
- Scientific notation
- 1.014 × 10⁵
- As a duration
- 101,400 s = 1 day, 4 hours, 10 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ραυʹ
- Mayan (base 20)
- 𝋬·𝋭·𝋪·𝋠
- Chinese
- 一十萬一千四百
- Chinese (financial)
- 壹拾萬壹仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101400, here are decompositions:
- 17 + 101383 = 101400
- 23 + 101377 = 101400
- 37 + 101363 = 101400
- 41 + 101359 = 101400
- 53 + 101347 = 101400
- 59 + 101341 = 101400
- 67 + 101333 = 101400
- 107 + 101293 = 101400
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 98 B0 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.140.24.
- Address
- 0.1.140.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.140.24
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 101,400 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 101400 first appears in π at position 278,111 of the decimal expansion (the 278,111ordinal-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.