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311404404097 is a prime number
BaseRepresentation
bin1001000100000010010…
…01100001110110000001
31002202210022022210010001
410202001021201312001
520100224011412342
6355020205040001
731332614522023
oct4420111416601
91082708283101
10311404404097
1111007a738956
1250428856001
132349977a307
1411101a02013
1581789d18b7
hex4881261d81

311404404097 has 2 divisors, whose sum is σ = 311404404098. Its totient is φ = 311404404096.

The previous prime is 311404404083. The next prime is 311404404127. The reversal of 311404404097 is 790404404113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 272368128321 + 39036275776 = 521889^2 + 197576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311404404097 is a prime.

It is not a weakly prime, because it can be changed into another prime (311404404037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155702202048 + 155702202049.

It is an arithmetic number, because the mean of its divisors is an integer number (155702202049).

Almost surely, 2311404404097 is an apocalyptic number.

It is an amenable number.

311404404097 is a deficient number, since it is larger than the sum of its proper divisors (1).

311404404097 is an equidigital number, since it uses as much as digits as its factorization.

311404404097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 311404404097 in words is "three hundred eleven billion, four hundred four million, four hundred four thousand, ninety-seven".