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12225963098593 is a prime number
BaseRepresentation
bin1011000111101001010000…
…1100000000000111100001
31121021210100101111212000001
42301322110030000013201
53100302233023123333
642000310243300001
72401203522450346
oct261722414000741
947253311455001
1012225963098593
113994002491282
12145558237a601
136a8b9893209a
14303a4dd0a7cd
1516305a8a9b7d
hexb1e943001e1

12225963098593 has 2 divisors, whose sum is σ = 12225963098594. Its totient is φ = 12225963098592.

The previous prime is 12225963098567. The next prime is 12225963098599. The reversal of 12225963098593 is 39589036952221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10424226023649 + 1801737074944 = 3228657^2 + 1342288^2 .

It is a cyclic number.

It is not a de Polignac number, because 12225963098593 - 29 = 12225963098081 is a prime.

It is not a weakly prime, because it can be changed into another prime (12225963098599) 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, 6112981549296 + 6112981549297.

It is an arithmetic number, because the mean of its divisors is an integer number (6112981549297).

Almost surely, 212225963098593 is an apocalyptic number.

It is an amenable number.

12225963098593 is a deficient number, since it is larger than the sum of its proper divisors (1).

12225963098593 is an equidigital number, since it uses as much as digits as its factorization.

12225963098593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62985600, while the sum is 64.

The spelling of 12225963098593 in words is "twelve trillion, two hundred twenty-five billion, nine hundred sixty-three million, ninety-eight thousand, five hundred ninety-three".