Number

213

213 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 213 AD

Calendar year

Year 213 (CCXIII) was a common year starting on Friday of the Julian calendar.

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Historical context — 213 BC

Calendar year

Year 213 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Friday
January 1, 213
Ended on: Friday
December 31, 213
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 210s
210–219
Century: 3rd century
201–300
Millennium: 1st millennium
1–1000
Years ago: 1,813
1813 years before 2026.

In other calendars

Hebrew: 3973 / 3974 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 756 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 205 / 206 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 135 / 134 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 6
Digit product: 6
Digital root: 6
Palindrome: No
Bit width: 8 bits
Reversed: 312
Recamán's sequence: a(2,606) = 213
Square (n²): 45,369
Cube (n³): 9,663,597
Divisor count: 4
σ(n) — sum of divisors: 288
φ(n) — Euler's totient: 140
Sum of prime factors: 74

Primality

Prime factorization: 3 × 71

Nearest primes: 211 (−2) · 223 (+10)

Divisors & multiples

All divisors (4)

1 · 3 · 71 · 213

Aliquot sum (sum of proper divisors): 75

Factor pairs (a × b = 213)

1 × 213

3 × 71

First multiples

213 · 426 (double) · 639 · 852 · 1,065 · 1,278 · 1,491 · 1,704 · 1,917 · 2,130

Sums & aliquot sequence

As consecutive integers: 106 + 107 70 + 71 + 72 33 + 34 + 35 + 36 + 37 + 38

Aliquot sequence: 213 → 75 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Representations

In words: two hundred thirteen
Ordinal: 213th
Roman numeral: CCXIII
Binary: 11010101
Octal: 325
Hexadecimal: 0xD5
Base64: 1Q==
One's complement: 42 (8-bit)

In other bases

ternary (3) 21220

quaternary (4) 3111

quinary (5) 1323

senary (6) 553

septenary (7) 423

nonary (9) 256

undecimal (11) 184

duodecimal (12) 159

tridecimal (13) 135

tetradecimal (14) 113

pentadecimal (15) e3

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian): σιγʹ
Mayan (base 20): 𝋪·𝋭
Chinese: 二百一十三
Chinese (financial): 貳佰壹拾參

In other modern scripts

Eastern Arabic ٢١٣ Devanagari २१३ Bengali ২১৩ Tamil ௨௧௩ Thai ๒๑๓ Tibetan ༢༡༣ Khmer ២១៣ Lao ໒໑໓ Burmese ၂၁၃

Digit at this position in famous constants

π — Pi (π): Digit 213 = 6
e — Euler's number (e): Digit 213 = 3
φ — Golden ratio (φ): Digit 213 = 9
√2 — Pythagoras's (√2): Digit 213 = 0
ln 2 — Natural log of 2: Digit 213 = 5
γ — Euler-Mascheroni (γ): Digit 213 = 4

Also seen as

Unicode codepoint

Latin Capital Letter O With Tilde

U+00D5

Uppercase letter (Lu)

UTF-8 encoding: C3 95 (2 bytes).

Lookup U+00D5 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0000D5

RGB(0, 0, 213)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.213.

Address: 0.0.0.213
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.213

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

NANP area code 213

The number 213 is an active NANP area code (North American Numbering Plan).

Primary area: Downtown Los Angeles
Region: California
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 213 ↗