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212313123313 is a prime number
BaseRepresentation
bin1100010110111011011…
…0010010100111110001
3202022000110121011021121
43011232312102213301
511434304124421223
6241311343022241
721224213525464
oct3055666224761
9668013534247
10212313123313
118205024aa75
123519329a981
13170372c7b65
14a3c152b2db
1557c944715d
hex316ed929f1

212313123313 has 2 divisors, whose sum is σ = 212313123314. Its totient is φ = 212313123312.

The previous prime is 212313123289. The next prime is 212313123409. The reversal of 212313123313 is 313321313212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130441601889 + 81871521424 = 361167^2 + 286132^2 .

It is a cyclic number.

It is not a de Polignac number, because 212313123313 - 213 = 212313115121 is a prime.

It is a super-2 number, since 2×2123131233132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212313123013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156561656 + 106156561657.

It is an arithmetic number, because the mean of its divisors is an integer number (106156561657).

Almost surely, 2212313123313 is an apocalyptic number.

It is an amenable number.

212313123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212313123313 is an equidigital number, since it uses as much as digits as its factorization.

212313123313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

Adding to 212313123313 its reverse (313321313212), we get a palindrome (525634436525).

The spelling of 212313123313 in words is "two hundred twelve billion, three hundred thirteen million, one hundred twenty-three thousand, three hundred thirteen".