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Number

90,121

90,121 is a prime, odd.

Arithmetic Number Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
12,109
Square (n²)
8,121,794,641
Cube (n³)
731,944,254,841,561
Divisor count
2
σ(n) — sum of divisors
90,122
φ(n) — Euler's totient
90,120

Primality

90,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 90121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 90,121)
1 × 90121
First multiples
90,121 · 180,242 (double) · 270,363 · 360,484 · 450,605 · 540,726 · 630,847 · 720,968 · 811,089 · 901,210

Sums & aliquot sequence

As a sum of two squares: 11² + 300²
As consecutive integers: 45,060 + 45,061

Representations

In words
ninety thousand one hundred twenty-one
Ordinal
90121st
Binary
10110000000001001
Octal
260011
Hexadecimal
0x16009
Base64
AWAJ
One's complement
4,294,877,174 (32-bit)
In other bases
ternary (3) 11120121211
quaternary (4) 112000021
quinary (5) 10340441
senary (6) 1533121
septenary (7) 523513
nonary (9) 146554
undecimal (11) 61789
duodecimal (12) 441a1
tridecimal (13) 32035
tetradecimal (14) 24bb3
pentadecimal (15) 1ba81

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ϟρκαʹ
Mayan (base 20)
𝋫·𝋥·𝋦·𝋡
Chinese
九萬零一百二十一
Chinese (financial)
玖萬零壹佰貳拾壹
In other modern scripts
Eastern Arabic ٩٠١٢١ Devanagari ९०१२१ Bengali ৯০১২১ Tamil ௯௦௧௨௧ Thai ๙๐๑๒๑ Tibetan ༩༠༡༢༡ Khmer ៩០១២១ Lao ໙໐໑໒໑ Burmese ၉၀၁၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 90,121 = 3
e — Euler's number (e)
Digit 90,121 = 2
φ — Golden ratio (φ)
Digit 90,121 = 8
√2 — Pythagoras's (√2)
Digit 90,121 = 5
ln 2 — Natural log of 2
Digit 90,121 = 6
γ — Euler-Mascheroni (γ)
Digit 90,121 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 90,107 (gap of 14)
  • Next prime: 90,127 (gap of 6)

Pair status: sexy with 90127.

Hex color
#016009
RGB(1, 96, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.96.9.

Address
0.1.96.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.96.9

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

Position in π

The digit sequence 90121 first appears in π at position 90,301 of the decimal expansion (the 90,301ordinal-suffix:st 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.