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222323311131101 is a prime number
BaseRepresentation
bin110010100011001110101101…
…111111000011100111011101
31002011011220022210212121011022
4302203032231333003213131
5213120021120122143401
62104501530312133525
764554220622166365
oct6243165577034735
91064156283777138
10222323311131101
11649258721a4274
1220b278b70972a5
139708cc92bc17b
143cc87117d19a5
151aa8215d7d71b
hexca33adfc39dd

222323311131101 has 2 divisors, whose sum is σ = 222323311131102. Its totient is φ = 222323311131100.

The previous prime is 222323311131073. The next prime is 222323311131113. The reversal of 222323311131101 is 101131113323222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115460934825625 + 106862376305476 = 10745275^2 + 10337426^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222323311131101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222323311131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111161655565550 + 111161655565551.

It is an arithmetic number, because the mean of its divisors is an integer number (111161655565551).

Almost surely, 2222323311131101 is an apocalyptic number.

It is an amenable number.

222323311131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222323311131101 is an equidigital number, since it uses as much as digits as its factorization.

222323311131101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 222323311131101 its reverse (101131113323222), we get a palindrome (323454424454323).

The spelling of 222323311131101 in words is "two hundred twenty-two trillion, three hundred twenty-three billion, three hundred eleven million, one hundred thirty-one thousand, one hundred one".