Search a number
-
+
313034124301709 is a prime number
BaseRepresentation
bin100011100101100111110111…
…1110010000001010110001101
31112001100202210100100020211212
41013023033233302001112031
5312012222341310123314
63025433520315024205
7122635653263152526
oct10713175762012615
91461322710306755
10313034124301709
1190819032427158
122b13813aa3b065
1310588cb6a48925
145742d0a93584d
15262cb08c49e3e
hex11cb3efc8158d

313034124301709 has 2 divisors, whose sum is σ = 313034124301710. Its totient is φ = 313034124301708.

The previous prime is 313034124301681. The next prime is 313034124301711. The reversal of 313034124301709 is 907103421430313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312207519666025 + 826604635684 = 17669395^2 + 909178^2 .

It is a cyclic number.

It is not a de Polignac number, because 313034124301709 - 228 = 313033855866253 is a prime.

It is a super-2 number, since 2×3130341243017092 (a number of 30 digits) contains 22 as substring.

Together with 313034124301711, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313034124301799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156517062150854 + 156517062150855.

It is an arithmetic number, because the mean of its divisors is an integer number (156517062150855).

Almost surely, 2313034124301709 is an apocalyptic number.

It is an amenable number.

313034124301709 is a deficient number, since it is larger than the sum of its proper divisors (1).

313034124301709 is an equidigital number, since it uses as much as digits as its factorization.

313034124301709 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 163296, while the sum is 41.

The spelling of 313034124301709 in words is "three hundred thirteen trillion, thirty-four billion, one hundred twenty-four million, three hundred one thousand, seven hundred nine".