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12244020520313 is a prime number
BaseRepresentation
bin1011001000101100100001…
…1111100110010101111001
31121100111221211201220211002
42302023020133212111321
53101101223223122223
642012454140414345
72402413146140621
oct262131037462571
947314854656732
1012244020520313
1139a07294234aa
121458b818473b5
136aa7b5a18bca
14304884203881
15163765d06e28
hexb22c87e6579

12244020520313 has 2 divisors, whose sum is σ = 12244020520314. Its totient is φ = 12244020520312.

The previous prime is 12244020520283. The next prime is 12244020520327. The reversal of 12244020520313 is 31302502044221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8799718810624 + 3444301709689 = 2966432^2 + 1855883^2 .

It is a cyclic number.

It is not a de Polignac number, because 12244020520313 - 28 = 12244020520057 is a prime.

It is a super-3 number, since 3×122440205203133 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12244020523313) 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, 6122010260156 + 6122010260157.

It is an arithmetic number, because the mean of its divisors is an integer number (6122010260157).

Almost surely, 212244020520313 is an apocalyptic number.

It is an amenable number.

12244020520313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12244020520313 is an equidigital number, since it uses as much as digits as its factorization.

12244020520313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 12244020520313 its reverse (31302502044221), we get a palindrome (43546522564534).

The spelling of 12244020520313 in words is "twelve trillion, two hundred forty-four billion, twenty million, five hundred twenty thousand, three hundred thirteen".