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312544323653 is a prime number
BaseRepresentation
bin1001000110001010001…
…01111110100001000101
31002212201202021200202212
410203011011332201011
520110042321324103
6355325245313205
731403065626452
oct4430505764105
91085652250685
10312544323653
11110605139331
12506a6565805
132361b997023
14111ad172829
1581e3b007d8
hex48c517e845

312544323653 has 2 divisors, whose sum is σ = 312544323654. Its totient is φ = 312544323652.

The previous prime is 312544323647. The next prime is 312544323677. The reversal of 312544323653 is 356323445213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215934007969 + 96610315684 = 464687^2 + 310822^2 .

It is a cyclic number.

It is not a de Polignac number, because 312544323653 - 28 = 312544323397 is a prime.

It is a super-2 number, since 2×3125443236532 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312544323653.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312544329653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156272161826 + 156272161827.

It is an arithmetic number, because the mean of its divisors is an integer number (156272161827).

Almost surely, 2312544323653 is an apocalyptic number.

It is an amenable number.

312544323653 is a deficient number, since it is larger than the sum of its proper divisors (1).

312544323653 is an equidigital number, since it uses as much as digits as its factorization.

312544323653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 777600, while the sum is 41.

Adding to 312544323653 its reverse (356323445213), we get a palindrome (668867768866).

The spelling of 312544323653 in words is "three hundred twelve billion, five hundred forty-four million, three hundred twenty-three thousand, six hundred fifty-three".