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212323311313 is a prime number
BaseRepresentation
bin1100010110111101110…
…1001001111011010001
3202022001011202202120221
43011233131021323101
511434314231430223
6241312345233041
721224366240221
oct3055735117321
9668034682527
10212323311313
1182055a79403
1235196792781
1317039454169
14a3c2a20081
1557ca2aab5d
hex316f749ed1

212323311313 has 2 divisors, whose sum is σ = 212323311314. Its totient is φ = 212323311312.

The previous prime is 212323311259. The next prime is 212323311329. The reversal of 212323311313 is 313113323212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116429041089 + 95894270224 = 341217^2 + 309668^2 .

It is a cyclic number.

It is not a de Polignac number, because 212323311313 - 213 = 212323303121 is a prime.

It is a super-2 number, since 2×2123233113132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212323311353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106161655656 + 106161655657.

It is an arithmetic number, because the mean of its divisors is an integer number (106161655657).

Almost surely, 2212323311313 is an apocalyptic number.

It is an amenable number.

212323311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212323311313 is an equidigital number, since it uses as much as digits as its factorization.

212323311313 is an evil number, because the sum of its binary digits is even.

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

Adding to 212323311313 its reverse (313113323212), we get a palindrome (525436634525).

The spelling of 212323311313 in words is "two hundred twelve billion, three hundred twenty-three million, three hundred eleven thousand, three hundred thirteen".