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312434010341 is a prime number
BaseRepresentation
bin1001000101111101000…
…01001010100011100101
31002212110001201012100122
410202332201022203211
520104331101312331
6355310305051325
731400256161345
oct4427641124345
91085401635318
10312434010341
11110558943302
1250675626b45
1323601b8218b
141119c658d25
1581d90b017b
hex48be84a8e5

312434010341 has 2 divisors, whose sum is σ = 312434010342. Its totient is φ = 312434010340.

The previous prime is 312434010323. The next prime is 312434010367. The reversal of 312434010341 is 143010434213.

It is a happy number.

It is an a-pointer prime, because the next prime (312434010367) can be obtained adding 312434010341 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203234164225 + 109199846116 = 450815^2 + 330454^2 .

It is an emirp because it is prime and its reverse (143010434213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312434010341 - 218 = 312433748197 is a prime.

It is a super-4 number, since 4×3124340103414 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a self number, because there is not a number n which added to its sum of digits gives 312434010341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312434010311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156217005170 + 156217005171.

It is an arithmetic number, because the mean of its divisors is an integer number (156217005171).

Almost surely, 2312434010341 is an apocalyptic number.

It is an amenable number.

312434010341 is a deficient number, since it is larger than the sum of its proper divisors (1).

312434010341 is an equidigital number, since it uses as much as digits as its factorization.

312434010341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 312434010341 its reverse (143010434213), we get a palindrome (455444444554).

The spelling of 312434010341 in words is "three hundred twelve billion, four hundred thirty-four million, ten thousand, three hundred forty-one".