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105422019353 = 7103487300239
BaseRepresentation
bin110001000101110100…
…1000101101100011001
3101002010001010110112022
41202023221011230121
53211401014104403
6120232531424225
710421312244050
oct1421351055431
9332101113468
10105422019353
1140788a88532
1218521755075
139c30c1c211
1451611b9397
152b20253d38
hex188ba45b19

105422019353 has 16 divisors (see below), whose sum is σ = 121902243840. Its totient is φ = 89300388816.

The previous prime is 105422019347. The next prime is 105422019377. The reversal of 105422019353 is 353910224501.

It is a cyclic number.

It is not a de Polignac number, because 105422019353 - 228 = 105153583897 is a prime.

It is a super-2 number, since 2×1054220193532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105422019343) 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 15 ways as a sum of consecutive naturals, for example, 201008 + ... + 501246.

It is an arithmetic number, because the mean of its divisors is an integer number (7618890240).

Almost surely, 2105422019353 is an apocalyptic number.

It is an amenable number.

105422019353 is a deficient number, since it is larger than the sum of its proper divisors (16480224487).

105422019353 is a wasteful number, since it uses less digits than its factorization.

105422019353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300836.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 105422019353 in words is "one hundred five billion, four hundred twenty-two million, nineteen thousand, three hundred fifty-three".

Divisors: 1 7 103 487 721 3409 50161 300239 351127 2101673 30924617 146216393 216472319 1023514751 15060288479 105422019353