Search a number
-
+
83828135051 is a prime number
BaseRepresentation
bin100111000010010001…
…0111101010010001011
322000101010102111001122
41032010202331102023
52333140000310201
6102302103505455
76025224251123
oct1160442752213
9260333374048
1083828135051
1132607884661
12142b5a5828b
137b9c27039b
1440b3351c83
1522a95e5e1b
hex13848bd48b

83828135051 has 2 divisors, whose sum is σ = 83828135052. Its totient is φ = 83828135050.

The previous prime is 83828135021. The next prime is 83828135087. The reversal of 83828135051 is 15053182838.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 83828135051 - 26 = 83828134987 is a prime.

It is a super-2 number, since 2×838281350512 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83828134993 and 83828135011.

It is not a weakly prime, because it can be changed into another prime (83828135011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41914067525 + 41914067526.

It is an arithmetic number, because the mean of its divisors is an integer number (41914067526).

Almost surely, 283828135051 is an apocalyptic number.

83828135051 is a deficient number, since it is larger than the sum of its proper divisors (1).

83828135051 is an equidigital number, since it uses as much as digits as its factorization.

83828135051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 83828135051 in words is "eighty-three billion, eight hundred twenty-eight million, one hundred thirty-five thousand, fifty-one".