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105387560413 = 314955968597
BaseRepresentation
bin110001000100110010…
…1101000110111011101
3101002000122021202202021
41202021211220313131
53211313203413123
6120225301100141
710420413324502
oct1421145506735
9332018252667
10105387560413
1140770591a73
12185120b7651
139c26a45805
14515a7a94a9
152b1c1e8c5d
hex1889968ddd

105387560413 has 8 divisors (see below), whose sum is σ = 108790940160. Its totient is φ = 101984417040.

The previous prime is 105387560407. The next prime is 105387560431. The reversal of 105387560413 is 314065783501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105387560413 - 229 = 104850689501 is a prime.

It is a super-2 number, since 2×1053875604132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105387560413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105387560483) 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 7 ways as a sum of consecutive naturals, for example, 1502031 + ... + 1570627.

It is an arithmetic number, because the mean of its divisors is an integer number (13598867520).

Almost surely, 2105387560413 is an apocalyptic number.

It is an amenable number.

105387560413 is a deficient number, since it is larger than the sum of its proper divisors (3403379747).

105387560413 is an equidigital number, since it uses as much as digits as its factorization.

105387560413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118187.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 105387560413 in words is "one hundred five billion, three hundred eighty-seven million, five hundred sixty thousand, four hundred thirteen".

Divisors: 1 31 49559 68597 1536329 2126507 3399598723 105387560413