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10064120069 is a prime number
BaseRepresentation
bin10010101111101111…
…00100100100000101
3221222101102021022202
421113313210210011
5131102403320234
64342353004245
7504253415633
oct112767444405
927871367282
1010064120069
1142a4a2a403
121b4a553685
13c4507a843
146b6894353
153dd82677e
hex257de4905

10064120069 has 2 divisors, whose sum is σ = 10064120070. Its totient is φ = 10064120068.

The previous prime is 10064120057. The next prime is 10064120081. The reversal of 10064120069 is 96002146001.

10064120069 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10064120057) and next prime (10064120081).

It can be written as a sum of positive squares in only one way, i.e., 9111657025 + 952463044 = 95455^2 + 30862^2 .

It is a cyclic number.

It is not a de Polignac number, because 10064120069 - 212 = 10064115973 is a prime.

It is a super-2 number, since 2×100641200692 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10064120369) 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, 5032060034 + 5032060035.

It is an arithmetic number, because the mean of its divisors is an integer number (5032060035).

Almost surely, 210064120069 is an apocalyptic number.

It is an amenable number.

10064120069 is a deficient number, since it is larger than the sum of its proper divisors (1).

10064120069 is an equidigital number, since it uses as much as digits as its factorization.

10064120069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 10064120069 in words is "ten billion, sixty-four million, one hundred twenty thousand, sixty-nine".