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1223122113329 is a prime number
BaseRepresentation
bin10001110011000111110…
…000100101001100110001
311022221002111001011120012
4101303013300211030301
5130014423230111304
62333521115424305
7154240051265114
oct21630760451461
94287074034505
101223122113329
114317a5601066
12179071155095
138b455a6097c
14432b132257b
1521c39abc16e
hex11cc7c25331

1223122113329 has 2 divisors, whose sum is σ = 1223122113330. Its totient is φ = 1223122113328.

The previous prime is 1223122113307. The next prime is 1223122113427. The reversal of 1223122113329 is 9233112213221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1054365473329 + 168756640000 = 1026823^2 + 410800^2 .

It is a cyclic number.

It is not a de Polignac number, because 1223122113329 - 240 = 123610485553 is a prime.

It is a super-2 number, since 2×12231221133292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1223122113295 and 1223122113304.

It is not a weakly prime, because it can be changed into another prime (1223122193329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611561056664 + 611561056665.

It is an arithmetic number, because the mean of its divisors is an integer number (611561056665).

Almost surely, 21223122113329 is an apocalyptic number.

It is an amenable number.

1223122113329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223122113329 is an equidigital number, since it uses as much as digits as its factorization.

1223122113329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 32.

The spelling of 1223122113329 in words is "one trillion, two hundred twenty-three billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred twenty-nine".