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311103131113 is a prime number
BaseRepresentation
bin1001000011011110011…
…00010000110111101001
31002202000022102112021101
410201233030100313221
520044114400143423
6354530243441401
731322265661105
oct4415714206751
91082008375241
10311103131113
1110aa35675015
1250363986261
132344c224c88
14110b39ba905
15815c3207ad
hex486f310de9

311103131113 has 2 divisors, whose sum is σ = 311103131114. Its totient is φ = 311103131112.

The previous prime is 311103131107. The next prime is 311103131137. The reversal of 311103131113 is 311131301113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215994421504 + 95108709609 = 464752^2 + 308397^2 .

It is a cyclic number.

It is not a de Polignac number, because 311103131113 - 229 = 310566260201 is a prime.

It is not a weakly prime, because it can be changed into another prime (311103131173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155551565556 + 155551565557.

It is an arithmetic number, because the mean of its divisors is an integer number (155551565557).

Almost surely, 2311103131113 is an apocalyptic number.

It is an amenable number.

311103131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311103131113 is an equidigital number, since it uses as much as digits as its factorization.

311103131113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 311103131113 its reverse (311131301113), we get a palindrome (622234432226).

The spelling of 311103131113 in words is "three hundred eleven billion, one hundred three million, one hundred thirty-one thousand, one hundred thirteen".