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314351666813 is a prime number
BaseRepresentation
bin1001001001100001101…
…00011100011001111101
31010001101201010020111102
410210300310130121331
520122243011314223
6400224451102445
731465633036502
oct4446064343175
91101351106442
10314351666813
11111352358a68
1250b0b8a1a25
1323849258552
14113011db4a9
15829c609928
hex4930d1c67d

314351666813 has 2 divisors, whose sum is σ = 314351666814. Its totient is φ = 314351666812.

The previous prime is 314351666803. The next prime is 314351666947. The reversal of 314351666813 is 318666153413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269939476249 + 44412190564 = 519557^2 + 210742^2 .

It is an emirp because it is prime and its reverse (318666153413) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314351666813 is a prime.

It is a super-2 number, since 2×3143516668132 (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 (314351666803) 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, 157175833406 + 157175833407.

It is an arithmetic number, because the mean of its divisors is an integer number (157175833407).

Almost surely, 2314351666813 is an apocalyptic number.

It is an amenable number.

314351666813 is a deficient number, since it is larger than the sum of its proper divisors (1).

314351666813 is an equidigital number, since it uses as much as digits as its factorization.

314351666813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 933120, while the sum is 47.

The spelling of 314351666813 in words is "three hundred fourteen billion, three hundred fifty-one million, six hundred sixty-six thousand, eight hundred thirteen".