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243113324401 is a prime number
BaseRepresentation
bin1110001001101010101…
…1101110111101110001
3212020111222121111012001
43202122223232331301
512440344002340101
6303403522134001
723364401106223
oct3423253567561
9766458544161
10243113324401
1194116151a12
123b14a1b1301
1319c053b350c
14baa3d54413
1564cd437901
hex389aaeef71

243113324401 has 2 divisors, whose sum is σ = 243113324402. Its totient is φ = 243113324400.

The previous prime is 243113324383. The next prime is 243113324411. The reversal of 243113324401 is 104423311342.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150855336801 + 92257987600 = 388401^2 + 303740^2 .

It is a cyclic number.

It is not a de Polignac number, because 243113324401 - 29 = 243113323889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 243113324401.

It is not a weakly prime, because it can be changed into another prime (243113324411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121556662200 + 121556662201.

It is an arithmetic number, because the mean of its divisors is an integer number (121556662201).

Almost surely, 2243113324401 is an apocalyptic number.

It is an amenable number.

243113324401 is a deficient number, since it is larger than the sum of its proper divisors (1).

243113324401 is an equidigital number, since it uses as much as digits as its factorization.

243113324401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 243113324401 its reverse (104423311342), we get a palindrome (347536635743).

The spelling of 243113324401 in words is "two hundred forty-three billion, one hundred thirteen million, three hundred twenty-four thousand, four hundred one".