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413114143213 is a prime number
BaseRepresentation
bin1100000001011111000…
…01011001000111101101
31110111022122010212111201
412000233201121013231
523232024210040323
6513440525445501
741563232164462
oct6005741310755
91414278125451
10413114143213
1114a223189292
1268093110891
132cc585661b5
1415dcdb61669
15ab2cd958ad
hex602f8591ed

413114143213 has 2 divisors, whose sum is σ = 413114143214. Its totient is φ = 413114143212.

The previous prime is 413114143193. The next prime is 413114143223. The reversal of 413114143213 is 312341411314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215349827364 + 197764315849 = 464058^2 + 444707^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413114143213 is a prime.

It is a super-2 number, since 2×4131141432132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413114143223) 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, 206557071606 + 206557071607.

It is an arithmetic number, because the mean of its divisors is an integer number (206557071607).

Almost surely, 2413114143213 is an apocalyptic number.

It is an amenable number.

413114143213 is a deficient number, since it is larger than the sum of its proper divisors (1).

413114143213 is an equidigital number, since it uses as much as digits as its factorization.

413114143213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 28.

Adding to 413114143213 its reverse (312341411314), we get a palindrome (725455554527).

The spelling of 413114143213 in words is "four hundred thirteen billion, one hundred fourteen million, one hundred forty-three thousand, two hundred thirteen".