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10010110589 is a prime number
BaseRepresentation
bin10010101001010011…
…00010101001111101
3221211121210022020122
421110221202221331
5131000042014324
64333143224325
7503026351613
oct112451425175
927747708218
1010010110589
1142774a0276
121b344480a5
13c36b1a47b
146ad6356b3
153d8c08a5e
hex254a62a7d

10010110589 has 2 divisors, whose sum is σ = 10010110590. Its totient is φ = 10010110588.

The previous prime is 10010110571. The next prime is 10010110601. The reversal of 10010110589 is 98501101001.

10010110589 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., 9431323225 + 578787364 = 97115^2 + 24058^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010110589 is a prime.

It is a super-3 number, since 3×100101105893 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010110519) 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, 5005055294 + 5005055295.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055295).

Almost surely, 210010110589 is an apocalyptic number.

It is an amenable number.

10010110589 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010110589 is an equidigital number, since it uses as much as digits as its factorization.

10010110589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 26.

The spelling of 10010110589 in words is "ten billion, ten million, one hundred ten thousand, five hundred eighty-nine".