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214117542413 is a prime number
BaseRepresentation
bin1100011101101001100…
…1100110101000001101
3202110200012221010221122
43013122121212220031
512002003042324123
6242210402010325
721320014036535
oct3073231465015
9673605833848
10214117542413
1182896852825
12355b76469a5
13172640a4478
14a5130344c5
155882a74bc8
hex31da666a0d

214117542413 has 2 divisors, whose sum is σ = 214117542414. Its totient is φ = 214117542412.

The previous prime is 214117542391. The next prime is 214117542421. The reversal of 214117542413 is 314245711412.

214117542413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206249497609 + 7868044804 = 454147^2 + 88702^2 .

It is a cyclic number.

It is not a de Polignac number, because 214117542413 - 212 = 214117538317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214117542113) 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, 107058771206 + 107058771207.

It is an arithmetic number, because the mean of its divisors is an integer number (107058771207).

Almost surely, 2214117542413 is an apocalyptic number.

It is an amenable number.

214117542413 is a deficient number, since it is larger than the sum of its proper divisors (1).

214117542413 is an equidigital number, since it uses as much as digits as its factorization.

214117542413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 35.

The spelling of 214117542413 in words is "two hundred fourteen billion, one hundred seventeen million, five hundred forty-two thousand, four hundred thirteen".