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311431030432349 is a prime number
BaseRepresentation
bin100011011001111101010111…
…1111100001110001001011101
31111211200111220222101220222112
41012303322233330032021131
5311304441222242313344
63022205235033523405
7122412102154123262
oct10663725774161135
91454614828356875
10311431030432349
1190260181763943
122ab19505b73565
13104a0a87b63179
1456c94b13a9269
152601080c2dc9e
hex11b3eaff0e25d

311431030432349 has 2 divisors, whose sum is σ = 311431030432350. Its totient is φ = 311431030432348.

The previous prime is 311431030432231. The next prime is 311431030432439. The reversal of 311431030432349 is 943234030134113.

Together with next prime (311431030432439) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310430394331225 + 1000636101124 = 17619035^2 + 1000318^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311431030432349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311431030438349) 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, 155715515216174 + 155715515216175.

It is an arithmetic number, because the mean of its divisors is an integer number (155715515216175).

Almost surely, 2311431030432349 is an apocalyptic number.

It is an amenable number.

311431030432349 is a deficient number, since it is larger than the sum of its proper divisors (1).

311431030432349 is an equidigital number, since it uses as much as digits as its factorization.

311431030432349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 41.

The spelling of 311431030432349 in words is "three hundred eleven trillion, four hundred thirty-one billion, thirty million, four hundred thirty-two thousand, three hundred forty-nine".