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1044164052105 = 354113112960517
BaseRepresentation
bin11110011000111010000…
…01110000010010001001
310200211011120212201121120
433030131001300102021
5114101421444131410
62115403215225453
7135303234000306
oct17143501602211
93624146781546
101044164052105
11372911427a09
1214a448518289
1377605c4b755
1438775a700ad
151c263acb570
hexf31d070489

1044164052105 has 32 divisors (see below), whose sum is σ = 1724474683008. Its totient is φ = 539157465600.

The previous prime is 1044164052103. The next prime is 1044164052121. The reversal of 1044164052105 is 5012504614401.

It is not a de Polignac number, because 1044164052105 - 21 = 1044164052103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1044164052103) 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 31 ways as a sum of consecutive naturals, for example, 6399694 + ... + 6560823.

It is an arithmetic number, because the mean of its divisors is an integer number (53889833844).

Almost surely, 21044164052105 is an apocalyptic number.

1044164052105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1044164052105 is a deficient number, since it is larger than the sum of its proper divisors (680310630903).

1044164052105 is a wasteful number, since it uses less digits than its factorization.

1044164052105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12960697.

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 1044164052105 its reverse (5012504614401), we get a palindrome (6056668666506).

The spelling of 1044164052105 in words is "one trillion, forty-four billion, one hundred sixty-four million, fifty-two thousand, one hundred five".

Divisors: 1 3 5 15 41 123 131 205 393 615 655 1965 5371 16113 26855 80565 12960517 38881551 64802585 194407755 531381197 1594143591 1697827727 2656905985 5093483181 7970717955 8489138635 25467415905 69610936807 208832810421 348054684035 1044164052105