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10346063105 = 57242228829
BaseRepresentation
bin10011010001010110…
…00110010100000001
3222201000221110110102
421220223012110001
5132142043004410
64430344012145
7514246041200
oct115053062401
928630843412
1010346063105
11442a0a0384
122008a61055
13c8b5c5741
147020c7237
1540846a2a5
hex268ac6501

10346063105 has 12 divisors (see below), whose sum is σ = 14442259860. Its totient is φ = 7094443104.

The previous prime is 10346063081. The next prime is 10346063107. The reversal of 10346063105 is 50136064301.

It is a happy number.

10346063105 is digitally balanced in base 3, 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 6695003329 + 3651059776 = 81823^2 + 60424^2 .

It is not a de Polignac number, because 10346063105 - 210 = 10346062081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10346063107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21114170 + ... + 21114659.

It is an arithmetic number, because the mean of its divisors is an integer number (1203521655).

Almost surely, 210346063105 is an apocalyptic number.

It is an amenable number.

10346063105 is a deficient number, since it is larger than the sum of its proper divisors (4096196755).

10346063105 is an equidigital number, since it uses as much as digits as its factorization.

10346063105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42228848 (or 42228841 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 10346063105 in words is "ten billion, three hundred forty-six million, sixty-three thousand, one hundred five".

Divisors: 1 5 7 35 49 245 42228829 211144145 295601803 1478009015 2069212621 10346063105