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331232313310097 is a prime number
BaseRepresentation
bin100101101010000010000100…
…0010111110111101110010001
31121102210111111102112200120112
41023110010020113313232101
5321403402234201410342
63132250005110251105
7126524513335366433
oct11324041027675621
91542714442480515
10331232313310097
11965a4920722821
123119705b656a95
13112a90c48493a4
145bb1a2da8a653
1528461a509c682
hex12d41085f7b91

331232313310097 has 2 divisors, whose sum is σ = 331232313310098. Its totient is φ = 331232313310096.

The previous prime is 331232313310079. The next prime is 331232313310207. The reversal of 331232313310097 is 790013313232133.

Together with previous prime (331232313310079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166995555000976 + 164236758309121 = 12922676^2 + 12815489^2 .

It is a cyclic number.

It is not a de Polignac number, because 331232313310097 - 212 = 331232313306001 is a prime.

It is not a weakly prime, because it can be changed into another prime (331232313310037) 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, 165616156655048 + 165616156655049.

It is an arithmetic number, because the mean of its divisors is an integer number (165616156655049).

Almost surely, 2331232313310097 is an apocalyptic number.

It is an amenable number.

331232313310097 is a deficient number, since it is larger than the sum of its proper divisors (1).

331232313310097 is an equidigital number, since it uses as much as digits as its factorization.

331232313310097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 183708, while the sum is 41.

The spelling of 331232313310097 in words is "three hundred thirty-one trillion, two hundred thirty-two billion, three hundred thirteen million, three hundred ten thousand, ninety-seven".