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312422103349 is a prime number
BaseRepresentation
bin1001000101111011100…
…11101111100100110101
31002212102020022021000221
410202331303233210311
520104320024301344
6355305201534341
731400053030156
oct4427563574465
91085366267027
10312422103349
11110552150414
12506716443b1
13235cc573615
141119ac3992d
1581d800c184
hex48bdcef935

312422103349 has 2 divisors, whose sum is σ = 312422103350. Its totient is φ = 312422103348.

The previous prime is 312422103293. The next prime is 312422103463. The reversal of 312422103349 is 943301224213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300832504324 + 11589599025 = 548482^2 + 107655^2 .

It is an emirp because it is prime and its reverse (943301224213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312422103349 - 213 = 312422095157 is a prime.

It is a super-2 number, since 2×3124221033492 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312422143349) 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, 156211051674 + 156211051675.

It is an arithmetic number, because the mean of its divisors is an integer number (156211051675).

Almost surely, 2312422103349 is an apocalyptic number.

It is an amenable number.

312422103349 is a deficient number, since it is larger than the sum of its proper divisors (1).

312422103349 is an equidigital number, since it uses as much as digits as its factorization.

312422103349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 312422103349 in words is "three hundred twelve billion, four hundred twenty-two million, one hundred three thousand, three hundred forty-nine".