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13222000313 is a prime number
BaseRepresentation
bin11000101000001011…
…11011011010111001
31021010110112012122022
430110011323122321
5204034313002223
610024001204225
7645440101604
oct142405733271
937113465568
1013222000313
115675524595
122690030675
13132938ca32
148d603733b
15525ba4ac8
hex31417b6b9

13222000313 has 2 divisors, whose sum is σ = 13222000314. Its totient is φ = 13222000312.

The previous prime is 13222000273. The next prime is 13222000343. The reversal of 13222000313 is 31300022231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12233023609 + 988976704 = 110603^2 + 31448^2 .

It is a cyclic number.

It is not a de Polignac number, because 13222000313 - 26 = 13222000249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13222000291 and 13222000300.

It is not a weakly prime, because it can be changed into another prime (13222000343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611000156 + 6611000157.

It is an arithmetic number, because the mean of its divisors is an integer number (6611000157).

Almost surely, 213222000313 is an apocalyptic number.

It is an amenable number.

13222000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222000313 is an equidigital number, since it uses as much as digits as its factorization.

13222000313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13222000313 its reverse (31300022231), we get a palindrome (44522022544).

The spelling of 13222000313 in words is "thirteen billion, two hundred twenty-two million, three hundred thirteen", and thus it is an aban number.