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10540110329 = 73173665369
BaseRepresentation
bin10011101000011110…
…10101000111111001
31000012120002002012122
421310033111013321
5133041232012304
64501515051025
7522123313430
oct116417250771
930176062178
1010540110329
114519687991
122061a40a75
13cbc877398
1471db9a117
1541a4ea9be
hex2743d51f9

10540110329 has 16 divisors (see below), whose sum is σ = 12604769280. Its totient is φ = 8623169280.

The previous prime is 10540110253. The next prime is 10540110337. The reversal of 10540110329 is 92301104501.

It is a cyclic number.

It is not a de Polignac number, because 10540110329 - 28 = 10540110073 is a prime.

It is a super-2 number, since 2×105401103292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10540110298 and 10540110307.

It is not an unprimeable number, because it can be changed into a prime (10540110379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316844 + ... + 348525.

It is an arithmetic number, because the mean of its divisors is an integer number (787798080).

Almost surely, 210540110329 is an apocalyptic number.

It is an amenable number.

10540110329 is a deficient number, since it is larger than the sum of its proper divisors (2064658951).

10540110329 is an equidigital number, since it uses as much as digits as its factorization.

10540110329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665480.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 10540110329 in words is "ten billion, five hundred forty million, one hundred ten thousand, three hundred twenty-nine".

Divisors: 1 7 31 73 217 511 2263 15841 665369 4657583 20626439 48571937 144385073 340003559 1505730047 10540110329