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35124131089 is a prime number
BaseRepresentation
bin100000101101100011…
…111011010100010001
310100122212020201210001
4200231203323110101
51033413234143324
624045200010001
72352260121355
oct405543732421
9110585221701
1035124131089
1113994724613
126983000901
133409b66028
1419b2bbd465
15da88eee44
hex82d8fb511

35124131089 has 2 divisors, whose sum is σ = 35124131090. Its totient is φ = 35124131088.

The previous prime is 35124131083. The next prime is 35124131111. The reversal of 35124131089 is 98013142153.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23796147600 + 11327983489 = 154260^2 + 106433^2 .

It is a cyclic number.

It is not a de Polignac number, because 35124131089 - 29 = 35124130577 is a prime.

It is not a weakly prime, because it can be changed into another prime (35124131083) 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, 17562065544 + 17562065545.

It is an arithmetic number, because the mean of its divisors is an integer number (17562065545).

Almost surely, 235124131089 is an apocalyptic number.

It is an amenable number.

35124131089 is a deficient number, since it is larger than the sum of its proper divisors (1).

35124131089 is an equidigital number, since it uses as much as digits as its factorization.

35124131089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 35124131089 in words is "thirty-five billion, one hundred twenty-four million, one hundred thirty-one thousand, eighty-nine".