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1223022312313 is a prime number
BaseRepresentation
bin10001110011000001110…
…011110111101101111001
311022220211112020202022021
4101303001303313231321
5130014222202443223
62333503152354441
7154234430062054
oct21630163675571
94286745222267
101223022312313
1143175423608a
12179043845a21
138b43b189909
14432a1d83a9b
1521c30e5665d
hex11cc1cf7b79

1223022312313 has 2 divisors, whose sum is σ = 1223022312314. Its totient is φ = 1223022312312.

The previous prime is 1223022312311. The next prime is 1223022312349. The reversal of 1223022312313 is 3132132203221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1217220138729 + 5802173584 = 1103277^2 + 76172^2 .

It is a cyclic number.

It is not a de Polignac number, because 1223022312313 - 21 = 1223022312311 is a prime.

It is a super-2 number, since 2×12230223123132 (a number of 25 digits) contains 22 as substring.

Together with 1223022312311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1223022312311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611511156156 + 611511156157.

It is an arithmetic number, because the mean of its divisors is an integer number (611511156157).

Almost surely, 21223022312313 is an apocalyptic number.

It is an amenable number.

1223022312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223022312313 is an equidigital number, since it uses as much as digits as its factorization.

1223022312313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1223022312313 its reverse (3132132203221), we get a palindrome (4355154515534).

The spelling of 1223022312313 in words is "one trillion, two hundred twenty-three billion, twenty-two million, three hundred twelve thousand, three hundred thirteen".