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220311322002229 is a prime number
BaseRepresentation
bin110010000101111100111010…
…000101101000001100110101
31001220001120000211100220020011
4302011330322011220030311
5212334040041413032404
62100321342450340221
764255652636602663
oct6205747205501465
91056046024326204
10220311322002229
116421a563847517
1220861987b8a671
1395c1364c2b503
143c591a6953c33
151a70c0a57b604
hexc85f3a168335

220311322002229 has 2 divisors, whose sum is σ = 220311322002230. Its totient is φ = 220311322002228.

The previous prime is 220311322002217. The next prime is 220311322002263. The reversal of 220311322002229 is 922200223113022.

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., 213759078732004 + 6552243270225 = 14620502^2 + 2559735^2 .

It is a cyclic number.

It is not a de Polignac number, because 220311322002229 - 231 = 220309174518581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220311322002229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220311322002209) 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, 110155661001114 + 110155661001115.

It is an arithmetic number, because the mean of its divisors is an integer number (110155661001115).

Almost surely, 2220311322002229 is an apocalyptic number.

It is an amenable number.

220311322002229 is a deficient number, since it is larger than the sum of its proper divisors (1).

220311322002229 is an equidigital number, since it uses as much as digits as its factorization.

220311322002229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 220311322002229 in words is "two hundred twenty trillion, three hundred eleven billion, three hundred twenty-two million, two thousand, two hundred twenty-nine".