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212333131313 is a prime number
BaseRepresentation
bin1100010111000000001…
…0100111011000110001
3202022001212020200002122
43011300002213120301
511434324240200223
6241313335524025
721224545560032
oct3056002473061
9668055220078
10212333131313
1182060576306
1235199b29615
131703b4b1b04
14a3c4058a89
1557cb09a5c8
hex31700a7631

212333131313 has 2 divisors, whose sum is σ = 212333131314. Its totient is φ = 212333131312.

The previous prime is 212333131303. The next prime is 212333131333. The reversal of 212333131313 is 313131333212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210435047824 + 1898083489 = 458732^2 + 43567^2 .

It is a cyclic number.

It is not a de Polignac number, because 212333131313 - 28 = 212333131057 is a prime.

It is a super-2 number, since 2×2123331313132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212333131303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106166565656 + 106166565657.

It is an arithmetic number, because the mean of its divisors is an integer number (106166565657).

Almost surely, 2212333131313 is an apocalyptic number.

It is an amenable number.

212333131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212333131313 is an equidigital number, since it uses as much as digits as its factorization.

212333131313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 26.

Adding to 212333131313 its reverse (313131333212), we get a palindrome (525464464525).

The spelling of 212333131313 in words is "two hundred twelve billion, three hundred thirty-three million, one hundred thirty-one thousand, three hundred thirteen".