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10334443111133 is a prime number
BaseRepresentation
bin1001011001100010110011…
…0011111000001011011101
31100120222000002221121121012
42112120230303320023131
52323304414414024013
633551324433345005
72114432064030401
oct226305463701335
940528002847535
1010334443111133
1133248a3799519
1211aaa74108165
1359c6c29c7b5b
1427a292817101
1512dc5132d1a8
hex9662ccf82dd

10334443111133 has 2 divisors, whose sum is σ = 10334443111134. Its totient is φ = 10334443111132.

The previous prime is 10334443111061. The next prime is 10334443111147. The reversal of 10334443111133 is 33111134443301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10133920957924 + 200522153209 = 3183382^2 + 447797^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10334443111133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10334443111133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10334443111183) 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, 5167221555566 + 5167221555567.

It is an arithmetic number, because the mean of its divisors is an integer number (5167221555567).

Almost surely, 210334443111133 is an apocalyptic number.

It is an amenable number.

10334443111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10334443111133 is an equidigital number, since it uses as much as digits as its factorization.

10334443111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 10334443111133 its reverse (33111134443301), we get a palindrome (43445577554434).

The spelling of 10334443111133 in words is "ten trillion, three hundred thirty-four billion, four hundred forty-three million, one hundred eleven thousand, one hundred thirty-three".