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10104034329 = 321139935137
BaseRepresentation
bin10010110100011111…
…10101010000011001
3222002011112010101200
421122033311100121
5131143113044304
64350340304413
7505246606014
oct113217652031
928064463350
1010104034329
1143155115a4
121b5b9a2109
13c5041434c
146bbcc437b
153e20ace39
hex25a3f5419

10104034329 has 12 divisors (see below), whose sum is σ = 14723874516. Its totient is φ = 6676411392.

The previous prime is 10104034313. The next prime is 10104034373. The reversal of 10104034329 is 92343040101.

10104034329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1107891225 + 8996143104 = 33285^2 + 94848^2 .

It is not a de Polignac number, because 10104034329 - 24 = 10104034313 is a prime.

It is a super-2 number, since 2×101040343292 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10104034229) 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 in 11 ways as a sum of consecutive naturals, for example, 4966552 + ... + 4968585.

It is an arithmetic number, because the mean of its divisors is an integer number (1226989543).

Almost surely, 210104034329 is an apocalyptic number.

It is an amenable number.

10104034329 is a deficient number, since it is larger than the sum of its proper divisors (4619840187).

10104034329 is a wasteful number, since it uses less digits than its factorization.

10104034329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9935256 (or 9935253 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10104034329 in words is "ten billion, one hundred four million, thirty-four thousand, three hundred twenty-nine".

Divisors: 1 3 9 113 339 1017 9935137 29805411 89416233 1122670481 3368011443 10104034329