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1223322123137 is a prime number
BaseRepresentation
bin10001110011010011101…
…011100011101110000001
311022221121102101201102212
4101303103223203232001
5130020330430420022
62333553022351505
7154245030323102
oct21632353435601
94287542351385
101223322123137
114318984a0424
1217910812b595
138b48831c57a
14432cdb083a9
1521c4c4293e2
hex11cd3ae3b81

1223322123137 has 2 divisors, whose sum is σ = 1223322123138. Its totient is φ = 1223322123136.

The previous prime is 1223322123061. The next prime is 1223322123139. The reversal of 1223322123137 is 7313212233221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1196363438656 + 26958684481 = 1093784^2 + 164191^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1223322123137 is a prime.

Together with 1223322123139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1223322123139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611661061568 + 611661061569.

It is an arithmetic number, because the mean of its divisors is an integer number (611661061569).

Almost surely, 21223322123137 is an apocalyptic number.

It is an amenable number.

1223322123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223322123137 is an equidigital number, since it uses as much as digits as its factorization.

1223322123137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 32.

Adding to 1223322123137 its reverse (7313212233221), we get a palindrome (8536534356358).

The spelling of 1223322123137 in words is "one trillion, two hundred twenty-three billion, three hundred twenty-two million, one hundred twenty-three thousand, one hundred thirty-seven".