102,013
102,013 is a prime, odd.
102,013 (one hundred two thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x18E7D.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 7
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 310,201
- Square (n²)
- 10,406,652,169
- Cube (n³)
- 1,061,613,807,716,197
- Divisor count
- 2
- σ(n) — sum of divisors
- 102,014
- φ(n) — Euler's totient
- 102,012
Primality
102,013 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√102,013 = [319; (2, 1, 1, 7, 212, 1, 3, 1, 22, 70, 1, 13, 1, 6, 1, 2, 23, 3, 4, 1, 1, 1, 1, 1, …)]
Representations
- In words
- one hundred two thousand thirteen
- Ordinal
- 102013th
- Binary
- 11000111001111101
- Octal
- 307175
- Hexadecimal
- 0x18E7D
- Base64
- AY59
- One's complement
- 4,294,865,282 (32-bit)
- Scientific notation
- 1.02013 × 10⁵
- As a duration
- 102,013 s = 1 day, 4 hours, 20 minutes, 13 seconds
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρβιγʹ
- Mayan (base 20)
- 𝋬·𝋯·𝋠·𝋭
- Chinese
- 一十萬二千零一十三
- Chinese (financial)
- 壹拾萬貳仟零壹拾參
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.1.142.125.
- Address
- 0.1.142.125
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.142.125
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 102,013 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 102013 first appears in π at position 930,583 of the decimal expansion (the 930,583ordinal-suffix:rd 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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.