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331003001013221 is a prime number
BaseRepresentation
bin100101101000010111010010…
…0010010111000001111100101
31121101222120121021000001001002
41023100232210102320033211
5321341123121224410341
63131552402432043045
7126502114635131105
oct11320564422701745
91541876537001032
10331003001013221
1196516647929089
123115a723393485
13112905ab78a364
145ba48b8a17205
15284023359329b
hex12d0ba44b83e5

331003001013221 has 2 divisors, whose sum is σ = 331003001013222. Its totient is φ = 331003001013220.

The previous prime is 331003001013199. The next prime is 331003001013299. The reversal of 331003001013221 is 122310100300133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248662149450625 + 82340851562596 = 15769025^2 + 9074186^2 .

It is a cyclic number.

It is not a de Polignac number, because 331003001013221 - 210 = 331003001012197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331003001013193 and 331003001013202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331003001010221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165501500506610 + 165501500506611.

It is an arithmetic number, because the mean of its divisors is an integer number (165501500506611).

Almost surely, 2331003001013221 is an apocalyptic number.

It is an amenable number.

331003001013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

331003001013221 is an equidigital number, since it uses as much as digits as its factorization.

331003001013221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 331003001013221 its reverse (122310100300133), we get a palindrome (453313101313354).

The spelling of 331003001013221 in words is "three hundred thirty-one trillion, three billion, one million, thirteen thousand, two hundred twenty-one".