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105432263023065 = 35113717269821953
BaseRepresentation
bin10111111110001111011100…
…100101011101100111011001
3111211022020002200120102002220
4113332033130211131213121
5102304400233313214230
61012122525112014253
731131141523031226
oct2776173445354731
9454266080512086
10105432263023065
1130659631954860
12b9a958b691389
1346aa2b1a09c24
141c06d3d56a94d
15c2c80602dd10
hex5fe3dc95d9d9

105432263023065 has 32 divisors (see below), whose sum is σ = 189000931464576. Its totient is φ = 49737087221760.

The previous prime is 105432263023057. The next prime is 105432263023069. The reversal of 105432263023065 is 560320362234501.

It is not a de Polignac number, because 105432263023065 - 23 = 105432263023057 is a prime.

It is a super-2 number, since 2×1054322630230652 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105432263023069) 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, 8634904872 + ... + 8634917081.

It is an arithmetic number, because the mean of its divisors is an integer number (5906279108268).

Almost surely, 2105432263023065 is an apocalyptic number.

105432263023065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105432263023065 is a deficient number, since it is larger than the sum of its proper divisors (83568668441511).

105432263023065 is a wasteful number, since it uses less digits than its factorization.

105432263023065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17269822009.

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 105432263023065 in words is "one hundred five trillion, four hundred thirty-two billion, two hundred sixty-three million, twenty-three thousand, sixty-five".

Divisors: 1 3 5 11 15 33 37 55 111 165 185 407 555 1221 2035 6105 17269821953 51809465859 86349109765 189968041483 259047329295 569904124449 638983412261 949840207415 1916950236783 2849520622245 3194917061305 7028817534871 9584751183915 21086452604613 35144087674355 105432263023065