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312412234213 is a prime number
BaseRepresentation
bin1001000101111010011…
…10000110000111100101
31002212101112201212010101
410202331032012013211
520104310012443323
6355304210224101
731366603114162
oct4427516060745
91085345655111
10312412234213
1111054761a602
125066a285031
13235ca4c94b1
14111997cb069
1581d720cdad
hex48bd3861e5

312412234213 has 2 divisors, whose sum is σ = 312412234214. Its totient is φ = 312412234212.

The previous prime is 312412234177. The next prime is 312412234243. The reversal of 312412234213 is 312432214213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 297366267969 + 15045966244 = 545313^2 + 122662^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312412234213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312412234243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156206117106 + 156206117107.

It is an arithmetic number, because the mean of its divisors is an integer number (156206117107).

Almost surely, 2312412234213 is an apocalyptic number.

It is an amenable number.

312412234213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312412234213 is an equidigital number, since it uses as much as digits as its factorization.

312412234213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 28.

Adding to 312412234213 its reverse (312432214213), we get a palindrome (624844448426).

The spelling of 312412234213 in words is "three hundred twelve billion, four hundred twelve million, two hundred thirty-four thousand, two hundred thirteen".