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105851048217 = 3375359304961
BaseRepresentation
bin110001010010100110…
…1101101000100011001
3101010012221102101111020
41202211031231010121
53213240332020332
6120343255153053
710435042031055
oct1424515550431
9333187371436
10105851048217
1140989180242
1218621375789
139c9ba85755
1451a2178c65
152b47c4d82c
hex18a536d119

105851048217 has 32 divisors (see below), whose sum is σ = 150187685760. Its totient is φ = 66222673920.

The previous prime is 105851048189. The next prime is 105851048227. The reversal of 105851048217 is 712840158501.

It is not a de Polignac number, because 105851048217 - 26 = 105851048153 is a prime.

It is a super-2 number, since 2×1058510482172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105851048227) 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, 194617 + ... + 499577.

It is an arithmetic number, because the mean of its divisors is an integer number (4693365180).

Almost surely, 2105851048217 is an apocalyptic number.

It is an amenable number.

105851048217 is a deficient number, since it is larger than the sum of its proper divisors (44336637543).

105851048217 is a wasteful number, since it uses less digits than its factorization.

105851048217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305113.

The product of its (nonzero) digits is 89600, while the sum is 42.

The spelling of 105851048217 in words is "one hundred five billion, eight hundred fifty-one million, forty-eight thousand, two hundred seventeen".

Divisors: 1 3 37 53 59 111 159 177 1961 2183 3127 5883 6549 9381 115699 304961 347097 914883 11283557 16162933 17992699 33850671 48488799 53978097 598028521 665729863 953613047 1794085563 1997189589 2860839141 35283682739 105851048217