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1223312329 is a prime number
BaseRepresentation
bin100100011101010…
…0100001111001001
310011020212201001001
41020322210033021
510001131443304
6321215455001
742212661151
oct11072441711
93136781031
101223312329
11578589728
122a1827461
13166597465
14b867b761
15725e2da4
hex48ea43c9

1223312329 has 2 divisors, whose sum is σ = 1223312330. Its totient is φ = 1223312328.

The previous prime is 1223312257. The next prime is 1223312353. The reversal of 1223312329 is 9232133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 672001929 + 551310400 = 25923^2 + 23480^2 .

It is a cyclic number.

It is not a de Polignac number, because 1223312329 - 217 = 1223181257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1223312297 and 1223312306.

It is not a weakly prime, because it can be changed into another prime (1223312369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611656164 + 611656165.

It is an arithmetic number, because the mean of its divisors is an integer number (611656165).

Almost surely, 21223312329 is an apocalyptic number.

It is an amenable number.

1223312329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223312329 is an equidigital number, since it uses as much as digits as its factorization.

1223312329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 28.

The square root of 1223312329 is about 34975.8821046732. The cubic root of 1223312329 is about 1069.4958841709.

The spelling of 1223312329 in words is "one billion, two hundred twenty-three million, three hundred twelve thousand, three hundred twenty-nine".