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120,213

120,213 is a composite number, 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.).

120,213 (one hundred twenty thousand two hundred thirteen) is an odd 6-digit number. It is a composite number with 18 divisors, and factors as 3² × 19² × 37. Written other ways, in hexadecimal, 0x1D595.

Cube-Free Deficient Number Evil Number Happy Number Harshad / Niven

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
312,021
Square (n²)
14,451,165,369
Cube (n³)
1,737,217,942,503,597
Divisor count
18
σ(n) — sum of divisors
188,214
φ(n) — Euler's totient
73,872
Sum of prime factors
81

Primality

Prime factorization: 3 2 × 19 2 × 37

Nearest primes: 120,209 (−4) · 120,223 (+10)

Divisors & multiples

All divisors (18)
1 · 3 · 9 · 19 · 37 · 57 · 111 · 171 · 333 · 361 · 703 · 1083 · 2109 · 3249 · 6327 · 13357 · 40071 · 120213
Aliquot sum (sum of proper divisors): 68,001
Factor pairs (a × b = 120,213)
1 × 120213
3 × 40071
9 × 13357
19 × 6327
37 × 3249
57 × 2109
111 × 1083
171 × 703
333 × 361
First multiples
120,213 · 240,426 (double) · 360,639 · 480,852 · 601,065 · 721,278 · 841,491 · 961,704 · 1,081,917 · 1,202,130

Sums & aliquot sequence

As a sum of two squares: 57² + 342²
As consecutive integers: 60,106 + 60,107 40,070 + 40,071 + 40,072 20,033 + 20,034 + 20,035 + 20,036 + 20,037 + 20,038 13,353 + 13,354 + … + 13,361
Aliquot sequence: 120,213 68,001 27,519 9,177 6,183 3,017 439 1 0 — terminates at zero

Continued fraction of √n

√120,213 = [346; (1, 2, 1, 1, 5, 1, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 4, 2, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand two hundred thirteen
Ordinal
120213th
Binary
11101010110010101
Octal
352625
Hexadecimal
0x1D595
Base64
AdWV
One's complement
4,294,847,082 (32-bit)
Scientific notation
1.20213 × 10⁵
As a duration
120,213 s = 1 day, 9 hours, 23 minutes, 33 seconds
In other bases
ternary (3) 20002220100
quaternary (4) 131112111
quinary (5) 12321323
senary (6) 2324313
septenary (7) 1010322
nonary (9) 202810
undecimal (11) 82355
duodecimal (12) 59699
tridecimal (13) 42942
tetradecimal (14) 31b49
pentadecimal (15) 25943

As an angle

120,213° = 333 × 360° + 333°
333° ≈ 5.812 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκσιγʹ
Mayan (base 20)
𝋯·𝋠·𝋪·𝋭
Chinese
一十二萬零二百一十三
Chinese (financial)
壹拾貳萬零貳佰壹拾參
In other modern scripts
Eastern Arabic ١٢٠٢١٣ Devanagari १२०२१३ Bengali ১২০২১৩ Tamil ௧௨௦௨௧௩ Thai ๑๒๐๒๑๓ Tibetan ༡༢༠༢༡༣ Khmer ១២០២១៣ Lao ໑໒໐໒໑໓ Burmese ၁၂၀၂၁၃

Also seen as

Unicode codepoint
𝖕
Mathematical Bold Fraktur Small P
U+1D595
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 96 95 (4 bytes).

Hex color
#01D595
RGB(1, 213, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.149.

Address
0.1.213.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.149

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 120,213 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 120213 first appears in π at position 151,032 of the decimal expansion (the 151,032ordinal-suffix:nd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.