Search a number
-
+
10223310321013 is a prime number
BaseRepresentation
bin1001010011000100110011…
…0001111011010101110101
31100012100011001222221022111
42110301030301323111311
52314444314420233023
633424305100131021
72103416105635006
oct224611461732565
940170131887274
1010223310321013
113291755178429
121191419b36a71
1359209190934a
14274b4cddb1ad
1512ade9a7400d
hex94c4cc7b575

10223310321013 has 2 divisors, whose sum is σ = 10223310321014. Its totient is φ = 10223310321012.

The previous prime is 10223310320983. The next prime is 10223310321083. The reversal of 10223310321013 is 31012301332201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7844799934449 + 2378510386564 = 2800857^2 + 1542242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10223310321013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10223310321083) 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, 5111655160506 + 5111655160507.

It is an arithmetic number, because the mean of its divisors is an integer number (5111655160507).

Almost surely, 210223310321013 is an apocalyptic number.

It is an amenable number.

10223310321013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223310321013 is an equidigital number, since it uses as much as digits as its factorization.

10223310321013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10223310321013 its reverse (31012301332201), we get a palindrome (41235611653214).

The spelling of 10223310321013 in words is "ten trillion, two hundred twenty-three billion, three hundred ten million, three hundred twenty-one thousand, thirteen".