Number

12,113

12,113 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Properties

Parity: Odd
Digit count: 5
Digit sum: 8
Digit product: 6
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 31,121
Recamán's sequence: a(22,558) = 12,113
Square (n²): 146,724,769
Cube (n³): 1,777,277,126,897
Divisor count: 2
σ(n) — sum of divisors: 12,114
φ(n) — Euler's totient: 12,112

Primality

12,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 12113

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 12,113)

1 × 12113

First multiples

12,113 · 24,226 (double) · 36,339 · 48,452 · 60,565 · 72,678 · 84,791 · 96,904 · 109,017 · 121,130

Sums & aliquot sequence

As a sum of two squares: 52² + 97²

As consecutive integers: 6,056 + 6,057

Representations

In words: twelve thousand one hundred thirteen
Ordinal: 12113th
Binary: 10111101010001
Octal: 27521
Hexadecimal: 0x2F51
Base64: L1E=
One's complement: 53,422 (16-bit)

In other bases

ternary (3) 121121122

quaternary (4) 2331101

quinary (5) 341423

senary (6) 132025

septenary (7) 50213

nonary (9) 17548

undecimal (11) 9112

duodecimal (12) 7015

tridecimal (13) 568a

tetradecimal (14) 45b3

pentadecimal (15) 38c8

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ιβριγʹ
Mayan (base 20): 𝋡·𝋪·𝋥·𝋭
Chinese: 一萬二千一百一十三
Chinese (financial): 壹萬貳仟壹佰壹拾參

In other modern scripts

Eastern Arabic ١٢١١٣ Devanagari १२११३ Bengali ১২১১৩ Tamil ௧௨௧௧௩ Thai ๑๒๑๑๓ Tibetan ༡༢༡༡༣ Khmer ១២១១៣ Lao ໑໒໑໑໓ Burmese ၁၂၁၁၃

Digit at this position in famous constants

π — Pi (π): Digit 12,113 = 5
e — Euler's number (e): Digit 12,113 = 4
φ — Golden ratio (φ): Digit 12,113 = 6
√2 — Pythagoras's (√2): Digit 12,113 = 5
ln 2 — Natural log of 2: Digit 12,113 = 2
γ — Euler-Mascheroni (γ): Digit 12,113 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 12,109 (gap of 4)
Next prime: 12,119 (gap of 6)

Pair status: cousin with 12109, sexy with 12119.

Unicode codepoint

⽑

Kangxi Radical Fur

U+2F51

Other symbol (So)

UTF-8 encoding: E2 BD 91 (3 bytes).

Lookup U+2F51 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002F51

RGB(0, 47, 81)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.81.

Address: 0.0.47.81
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.47.81

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

Position in π

The digit sequence 12113 first appears in π at position 280,268 of the decimal expansion (the 280,268ordinal-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.

Look up 12113 on Pi Search ↗