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10029258293 is a prime number
BaseRepresentation
bin10010101011100101…
…00101011000110101
3221212221211002221212
421111302211120311
5131014442231133
64335105451205
7503351201045
oct112562453065
927787732855
1010029258293
11428728921a
121b3a940b05
13c3aa92982
146b1dbb725
153da73c148
hex255ca5635

10029258293 has 2 divisors, whose sum is σ = 10029258294. Its totient is φ = 10029258292.

The previous prime is 10029258277. The next prime is 10029258359. The reversal of 10029258293 is 39285292001.

10029258293 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., 9744256369 + 285001924 = 98713^2 + 16882^2 .

It is a cyclic number.

It is not a de Polignac number, because 10029258293 - 24 = 10029258277 is a prime.

It is a super-3 number, since 3×100292582933 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10029258293.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10029258233) 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, 5014629146 + 5014629147.

It is an arithmetic number, because the mean of its divisors is an integer number (5014629147).

Almost surely, 210029258293 is an apocalyptic number.

It is an amenable number.

10029258293 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029258293 is an equidigital number, since it uses as much as digits as its factorization.

10029258293 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 41.

The spelling of 10029258293 in words is "ten billion, twenty-nine million, two hundred fifty-eight thousand, two hundred ninety-three".