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105115303533 = 31731613108461
BaseRepresentation
bin110000111100101011…
…1000011111001101101
3101001022122222200112010
41201321113003321231
53210234004203113
6120142253431433
710410566223612
oct1417127037155
9331278880463
10105115303533
1140640937389
1218456a9b579
139bb250c676
145132578509
152b0336a1c3
hex18795c3e6d

105115303533 has 32 divisors (see below), whose sum is σ = 153436419072. Its totient is φ = 63722419200.

The previous prime is 105115303529. The next prime is 105115303561. The reversal of 105115303533 is 335303511501.

It is not a de Polignac number, because 105115303533 - 22 = 105115303529 is a prime.

It is a super-2 number, since 2×1051153035332 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105115303533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105115303333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914923 + ... + 1023383.

It is an arithmetic number, because the mean of its divisors is an integer number (4794888096).

Almost surely, 2105115303533 is an apocalyptic number.

It is an amenable number.

105115303533 is a deficient number, since it is larger than the sum of its proper divisors (48321115539).

105115303533 is a wasteful number, since it uses less digits than its factorization.

105115303533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109125.

The product of its (nonzero) digits is 10125, while the sum is 30.

The spelling of 105115303533 in words is "one hundred five billion, one hundred fifteen million, three hundred three thousand, five hundred thirty-three".

Divisors: 1 3 17 31 51 93 527 613 1581 1839 10421 19003 31263 57009 108461 323051 325383 969153 1843837 3362291 5531511 10086873 57158947 66486593 171476841 199459779 1130272081 2061084383 3390816243 6183253149 35038434511 105115303533