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313114220430293 is a prime number
BaseRepresentation
bin100011100110001101001010…
…1111000100000001111010101
31112001122102112101100011110202
41013030122111320200033111
5312020030410412232133
63025534404225030245
7122644520163053432
oct10714322570401725
91461572471304422
10313114220430293
1190849aa4620047
122b14b772a85385
131059370ca6a059
145746b48374b89
15262ec458a62e8
hex11cc695e203d5

313114220430293 has 2 divisors, whose sum is σ = 313114220430294. Its totient is φ = 313114220430292.

The previous prime is 313114220430289. The next prime is 313114220430313. The reversal of 313114220430293 is 392034022411313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 232882036183729 + 80232184246564 = 15260473^2 + 8957242^2 .

It is a cyclic number.

It is not a de Polignac number, because 313114220430293 - 22 = 313114220430289 is a prime.

It is a super-2 number, since 2×3131142204302932 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313114220430283) 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, 156557110215146 + 156557110215147.

It is an arithmetic number, because the mean of its divisors is an integer number (156557110215147).

Almost surely, 2313114220430293 is an apocalyptic number.

It is an amenable number.

313114220430293 is a deficient number, since it is larger than the sum of its proper divisors (1).

313114220430293 is an equidigital number, since it uses as much as digits as its factorization.

313114220430293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 313114220430293 in words is "three hundred thirteen trillion, one hundred fourteen billion, two hundred twenty million, four hundred thirty thousand, two hundred ninety-three".