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12821413335697 is a prime number
BaseRepresentation
bin1011101010010011011111…
…0010011001001010010001
31200101201022100012000010101
42322210313302121022101
53140031223303220242
643134024224332401
72462213401115461
oct272446762311221
950351270160111
1012821413335697
1140a359263564a
121530a61474101
13720091ab15a5
143247b9c0dba1
151737ab0a99b7
hexba937c99291

12821413335697 has 2 divisors, whose sum is σ = 12821413335698. Its totient is φ = 12821413335696.

The previous prime is 12821413335691. The next prime is 12821413335739. The reversal of 12821413335697 is 79653331412821.

12821413335697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9501288397056 + 3320124938641 = 3082416^2 + 1822121^2 .

It is an emirp because it is prime and its reverse (79653331412821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12821413335697 - 27 = 12821413335569 is a prime.

It is not a weakly prime, because it can be changed into another prime (12821413335691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6410706667848 + 6410706667849.

It is an arithmetic number, because the mean of its divisors is an integer number (6410706667849).

Almost surely, 212821413335697 is an apocalyptic number.

It is an amenable number.

12821413335697 is a deficient number, since it is larger than the sum of its proper divisors (1).

12821413335697 is an equidigital number, since it uses as much as digits as its factorization.

12821413335697 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6531840, while the sum is 55.

The spelling of 12821413335697 in words is "twelve trillion, eight hundred twenty-one billion, four hundred thirteen million, three hundred thirty-five thousand, six hundred ninety-seven".