Search a number
-
+
13344221412013 is a prime number
BaseRepresentation
bin1100001000101111000110…
…0100111011101010101101
31202020200202201211001011011
43002023301210323222231
53222112431140141023
644214130052025221
72545042150335352
oct302136144735255
952220681731134
1013344221412013
114285286116398
1215b6248902211
1375a47c3012bb
14341c14242629
151821a923b50d
hexc22f193baad

13344221412013 has 2 divisors, whose sum is σ = 13344221412014. Its totient is φ = 13344221412012.

The previous prime is 13344221411993. The next prime is 13344221412077. The reversal of 13344221412013 is 31021412244331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6889354558564 + 6454866853449 = 2624758^2 + 2540643^2 .

It is a cyclic number.

It is not a de Polignac number, because 13344221412013 - 29 = 13344221411501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13344221412713) 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, 6672110706006 + 6672110706007.

It is an arithmetic number, because the mean of its divisors is an integer number (6672110706007).

Almost surely, 213344221412013 is an apocalyptic number.

It is an amenable number.

13344221412013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13344221412013 is an equidigital number, since it uses as much as digits as its factorization.

13344221412013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 13344221412013 its reverse (31021412244331), we get a palindrome (44365633656344).

The spelling of 13344221412013 in words is "thirteen trillion, three hundred forty-four billion, two hundred twenty-one million, four hundred twelve thousand, thirteen".