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312143211209 is a prime number
BaseRepresentation
bin1001000101011010010…
…11110110101011001001
31002211200210112001221102
410202231023312223021
520103232130224314
6355221400151145
731360125342434
oct4425513665311
91084623461842
10312143211209
11110419783645
12505b41684b5
132358685629b
1411171b9c81b
1581bd7bc5de
hex48ad2f6ac9

312143211209 has 2 divisors, whose sum is σ = 312143211210. Its totient is φ = 312143211208.

The previous prime is 312143211181. The next prime is 312143211227. The reversal of 312143211209 is 902112341213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198167425600 + 113975785609 = 445160^2 + 337603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312143211209 is a prime.

It is not a weakly prime, because it can be changed into another prime (312140211209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156071605604 + 156071605605.

It is an arithmetic number, because the mean of its divisors is an integer number (156071605605).

Almost surely, 2312143211209 is an apocalyptic number.

It is an amenable number.

312143211209 is a deficient number, since it is larger than the sum of its proper divisors (1).

312143211209 is an equidigital number, since it uses as much as digits as its factorization.

312143211209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

It can be divided in two parts, 31214 and 3211209, that added together give a palindrome (3242423).

The spelling of 312143211209 in words is "three hundred twelve billion, one hundred forty-three million, two hundred eleven thousand, two hundred nine".