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13523400389 is a prime number
BaseRepresentation
bin11001001100000111…
…01011011011000101
31021220110122220211002
430212003223123011
5210143442303024
610113525223045
7656060002202
oct144603533305
937813586732
1013523400389
11580a674964
122754b61a85
13137695ab85
14924092ca9
1554238d6ae
hex3260eb6c5

13523400389 has 2 divisors, whose sum is σ = 13523400390. Its totient is φ = 13523400388.

The previous prime is 13523400383. The next prime is 13523400409. The reversal of 13523400389 is 98300432531.

13523400389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6983443489 + 6539956900 = 83567^2 + 80870^2 .

It is a cyclic number.

It is not a de Polignac number, because 13523400389 - 28 = 13523400133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13523400383) 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, 6761700194 + 6761700195.

It is an arithmetic number, because the mean of its divisors is an integer number (6761700195).

Almost surely, 213523400389 is an apocalyptic number.

It is an amenable number.

13523400389 is a deficient number, since it is larger than the sum of its proper divisors (1).

13523400389 is an equidigital number, since it uses as much as digits as its factorization.

13523400389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 13523400389 in words is "thirteen billion, five hundred twenty-three million, four hundred thousand, three hundred eighty-nine".