number.wiki
Live analysis

120,713

120,713 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

120,713 (one hundred twenty thousand seven hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D789.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
317,021
Square (n²)
14,571,628,369
Cube (n³)
1,758,984,975,307,097
Divisor count
2
σ(n) — sum of divisors
120,714
φ(n) — Euler's totient
120,712

Primality

120,713 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120713
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,713)
1 × 120713
First multiples
120,713 · 241,426 (double) · 362,139 · 482,852 · 603,565 · 724,278 · 844,991 · 965,704 · 1,086,417 · 1,207,130

Sums & aliquot sequence

As a sum of two squares: 128² + 323²
As consecutive integers: 60,356 + 60,357

Continued fraction of √n

√120,713 = [347; (2, 3, 1, 1, 14, 4, 1, 1, 86, 3, 3, 1, 1, 4, 1, 1, 36, 43, 2, 2, 16, 1, 1, 4, …)]

Representations

In words
one hundred twenty thousand seven hundred thirteen
Ordinal
120713th
Binary
11101011110001001
Octal
353611
Hexadecimal
0x1D789
Base64
AdeJ
One's complement
4,294,846,582 (32-bit)
Scientific notation
1.20713 × 10⁵
As a duration
120,713 s = 1 day, 9 hours, 31 minutes, 53 seconds
In other bases
ternary (3) 20010120212
quaternary (4) 131132021
quinary (5) 12330323
senary (6) 2330505
septenary (7) 1011635
nonary (9) 203525
undecimal (11) 8276a
duodecimal (12) 59a35
tridecimal (13) 42c38
tetradecimal (14) 31dc5
pentadecimal (15) 25b78

As an angle

120,713° = 335 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκψιγʹ
Mayan (base 20)
𝋯·𝋡·𝋯·𝋭
Chinese
一十二萬零七百一十三
Chinese (financial)
壹拾貳萬零柒佰壹拾參
In other modern scripts
Eastern Arabic ١٢٠٧١٣ Devanagari १२०७१३ Bengali ১২০৭১৩ Tamil ௧௨௦௭௧௩ Thai ๑๒๐๗๑๓ Tibetan ༡༢༠༧༡༣ Khmer ១២០៧១៣ Lao ໑໒໐໗໑໓ Burmese ၁၂၀၇၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 120709.

Unicode codepoint
𝞉
Mathematical Sans-Serif Bold Partial Differential
U+1D789
Math symbol (Sm)

UTF-8 encoding: F0 9D 9E 89 (4 bytes).

Hex color
#01D789
RGB(1, 215, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.137.

Address
0.1.215.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.137

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 120,713 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 120713 first appears in π at position 113,863 of the decimal expansion (the 113,863ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.