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427152135013 is a prime number
BaseRepresentation
bin1100011011101000100…
…00000101001101100101
31111211112222002202000221
412031310100011031211
523444301421310023
6524121520404341
742601141145332
oct6156420051545
91454488082027
10427152135013
111551772762aa
126a9504766b1
13313849b7816
14169622c7989
15b1a04d085d
hex6374405365

427152135013 has 2 divisors, whose sum is σ = 427152135014. Its totient is φ = 427152135012.

The previous prime is 427152134971. The next prime is 427152135049. The reversal of 427152135013 is 310531251724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271776627684 + 155375507329 = 521322^2 + 394177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-427152135013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 427152135013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (427152435013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213576067506 + 213576067507.

It is an arithmetic number, because the mean of its divisors is an integer number (213576067507).

Almost surely, 2427152135013 is an apocalyptic number.

It is an amenable number.

427152135013 is a deficient number, since it is larger than the sum of its proper divisors (1).

427152135013 is an equidigital number, since it uses as much as digits as its factorization.

427152135013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 427152135013 its reverse (310531251724), we get a palindrome (737683386737).

The spelling of 427152135013 in words is "four hundred twenty-seven billion, one hundred fifty-two million, one hundred thirty-five thousand, thirteen".