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Number

83,101

83,101 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
10,138
Recamán's sequence
a(116,489) = 83,101
Square (n²)
6,905,776,201
Cube (n³)
573,876,908,079,301
Divisor count
2
σ(n) — sum of divisors
83,102
φ(n) — Euler's totient
83,100

Primality

83,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 83101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 83,101)
1 × 83101
First multiples
83,101 · 166,202 (double) · 249,303 · 332,404 · 415,505 · 498,606 · 581,707 · 664,808 · 747,909 · 831,010

Sums & aliquot sequence

As a sum of two squares: 101² + 270²
As consecutive integers: 41,550 + 41,551

Representations

In words
eighty-three thousand one hundred one
Ordinal
83101st
Binary
10100010010011101
Octal
242235
Hexadecimal
0x1449D
Base64
AUSd
One's complement
4,294,884,194 (32-bit)
In other bases
ternary (3) 11012222211
quaternary (4) 110102131
quinary (5) 10124401
senary (6) 1440421
septenary (7) 464164
nonary (9) 135884
undecimal (11) 57487
duodecimal (12) 40111
tridecimal (13) 2ba95
tetradecimal (14) 223db
pentadecimal (15) 19951

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓏺
Greek (Milesian)
͵πγραʹ
Mayan (base 20)
𝋪·𝋧·𝋯·𝋡
Chinese
八萬三千一百零一
Chinese (financial)
捌萬參仟壹佰零壹
In other modern scripts
Eastern Arabic ٨٣١٠١ Devanagari ८३१०१ Bengali ৮৩১০১ Tamil ௮௩௧௦௧ Thai ๘๓๑๐๑ Tibetan ༨༣༡༠༡ Khmer ៨៣១០១ Lao ໘໓໑໐໑ Burmese ၈၃၁၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 83,101 = 8
e — Euler's number (e)
Digit 83,101 = 0
φ — Golden ratio (φ)
Digit 83,101 = 0
√2 — Pythagoras's (√2)
Digit 83,101 = 4
ln 2 — Natural log of 2
Digit 83,101 = 2
γ — Euler-Mascheroni (γ)
Digit 83,101 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 83,093 (gap of 8)
  • Next prime: 83,117 (gap of 16)
Unicode codepoint
𔒝
Anatolian Hieroglyph A131
U+1449D
Other letter (Lo)

UTF-8 encoding: F0 94 92 9D (4 bytes).

Hex color
#01449D
RGB(1, 68, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.68.157.

Address
0.1.68.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.68.157

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

Position in π

The digit sequence 83101 first appears in π at position 25,987 of the decimal expansion (the 25,987ordinal-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.