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34313112541 is a prime number
BaseRepresentation
bin11111111101001110…
…001000101111011101
310021120100011201111001
4133331032020233131
51030233124100131
623432505030301
72323211433661
oct377516105735
9107510151431
1034313112541
1113608948354
126797485391
13330ab25ab6
1419371c68a1
15d5c5ed261
hex7fd388bdd

34313112541 has 2 divisors, whose sum is σ = 34313112542. Its totient is φ = 34313112540.

The previous prime is 34313112521. The next prime is 34313112551. The reversal of 34313112541 is 14521131343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32093289316 + 2219823225 = 179146^2 + 47115^2 .

It is a cyclic number.

It is not a de Polignac number, because 34313112541 - 211 = 34313110493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34313112521) 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, 17156556270 + 17156556271.

It is an arithmetic number, because the mean of its divisors is an integer number (17156556271).

Almost surely, 234313112541 is an apocalyptic number.

It is an amenable number.

34313112541 is a deficient number, since it is larger than the sum of its proper divisors (1).

34313112541 is an equidigital number, since it uses as much as digits as its factorization.

34313112541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 28.

Adding to 34313112541 its reverse (14521131343), we get a palindrome (48834243884).

The spelling of 34313112541 in words is "thirty-four billion, three hundred thirteen million, one hundred twelve thousand, five hundred forty-one".