Search a number
-
+
222111331009 is a prime number
BaseRepresentation
bin1100111011011011011…
…1011111001011000001
3210020022022122200101221
43032312313133023001
512114341000043014
6250011520355041
722022061106621
oct3166667371301
9706268580357
10222111331009
1186219068487
1237068775a81
1317c392512a9
14aa70962881
155b9e744b24
hex33b6ddf2c1

222111331009 has 2 divisors, whose sum is σ = 222111331010. Its totient is φ = 222111331008.

The previous prime is 222111331003. The next prime is 222111331073. The reversal of 222111331009 is 900133111222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160518018609 + 61593312400 = 400647^2 + 248180^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222111331009 is a prime.

It is not a weakly prime, because it can be changed into another prime (222111331003) 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, 111055665504 + 111055665505.

It is an arithmetic number, because the mean of its divisors is an integer number (111055665505).

Almost surely, 2222111331009 is an apocalyptic number.

It is an amenable number.

222111331009 is a deficient number, since it is larger than the sum of its proper divisors (1).

222111331009 is an equidigital number, since it uses as much as digits as its factorization.

222111331009 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 25.

The spelling of 222111331009 in words is "two hundred twenty-two billion, one hundred eleven million, three hundred thirty-one thousand, nine".