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312014143423313 is a prime number
BaseRepresentation
bin100011011110001100111010…
…0001011110000001101010001
31111220202021001010101001000122
41012330121310023300031101
5311344014431204021223
63023333152501000025
7122502164224556642
oct10674316413601521
91456667033331018
10312014143423313
1190465500852621
122abb25213b3015
1310513a6603bb26
1457097ca9836c9
15261130d2935c8
hex11bc6742f0351

312014143423313 has 2 divisors, whose sum is σ = 312014143423314. Its totient is φ = 312014143423312.

The previous prime is 312014143423291. The next prime is 312014143423363. The reversal of 312014143423313 is 313324341410213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309660321620224 + 2353821803089 = 17597168^2 + 1534217^2 .

It is a cyclic number.

It is not a de Polignac number, because 312014143423313 - 26 = 312014143423249 is a prime.

It is not a weakly prime, because it can be changed into another prime (312014143423363) 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, 156007071711656 + 156007071711657.

It is an arithmetic number, because the mean of its divisors is an integer number (156007071711657).

Almost surely, 2312014143423313 is an apocalyptic number.

It is an amenable number.

312014143423313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312014143423313 is an equidigital number, since it uses as much as digits as its factorization.

312014143423313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 312014143423313 its reverse (313324341410213), we get a palindrome (625338484833526).

The spelling of 312014143423313 in words is "three hundred twelve trillion, fourteen billion, one hundred forty-three million, four hundred twenty-three thousand, three hundred thirteen".