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311431003340341 is a prime number
BaseRepresentation
bin100011011001111101010111…
…0010100110111111000110101
31111211200111212002102111201211
41012303322232110313320311
5311304441143323342331
63022205232225121421
7122412101404625653
oct10663725624677065
91454614762374654
10311431003340341
119026016843a255
122ab194b8a89271
13104a0a823689b1
1456c94ab955dd3
15260107d67b8b1
hex11b3eae537e35

311431003340341 has 2 divisors, whose sum is σ = 311431003340342. Its totient is φ = 311431003340340.

The previous prime is 311431003340339. The next prime is 311431003340357. The reversal of 311431003340341 is 143043300134113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192861684126225 + 118569319214116 = 13887465^2 + 10888954^2 .

It is an emirp because it is prime and its reverse (143043300134113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311431003340341 - 21 = 311431003340339 is a prime.

Together with 311431003340339, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311431003340381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155715501670170 + 155715501670171.

It is an arithmetic number, because the mean of its divisors is an integer number (155715501670171).

Almost surely, 2311431003340341 is an apocalyptic number.

It is an amenable number.

311431003340341 is a deficient number, since it is larger than the sum of its proper divisors (1).

311431003340341 is an equidigital number, since it uses as much as digits as its factorization.

311431003340341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 311431003340341 its reverse (143043300134113), we get a palindrome (454474303474454).

The spelling of 311431003340341 in words is "three hundred eleven trillion, four hundred thirty-one billion, three million, three hundred forty thousand, three hundred forty-one".