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623123329 is a prime number
BaseRepresentation
bin100101001001000…
…001101110000001
31121102111221111211
4211021001232001
52234004421304
6141455410121
721304314043
oct4511015601
91542457454
10623123329
1129a811864
12154823941
139c13383a
145ca85a93
1539a89204
hex25241b81

623123329 has 2 divisors, whose sum is σ = 623123330. Its totient is φ = 623123328.

The previous prime is 623123311. The next prime is 623123407. The reversal of 623123329 is 923321326.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 322274304 + 300849025 = 17952^2 + 17345^2 .

It is a cyclic number.

It is not a de Polignac number, because 623123329 - 225 = 589568897 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 623123329.

It is not a weakly prime, because it can be changed into another prime (623123309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 311561664 + 311561665.

It is an arithmetic number, because the mean of its divisors is an integer number (311561665).

Almost surely, 2623123329 is an apocalyptic number.

It is an amenable number.

623123329 is a deficient number, since it is larger than the sum of its proper divisors (1).

623123329 is an equidigital number, since it uses as much as digits as its factorization.

623123329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 31.

The square root of 623123329 is about 24962.4383624677. The cubic root of 623123329 is about 854.1313654555.

The spelling of 623123329 in words is "six hundred twenty-three million, one hundred twenty-three thousand, three hundred twenty-nine".