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110100105056106 = 232111929399885241
BaseRepresentation
bin11001000010001010101101…
…101001101100111101101010
3112102211110121121212112020200
4121002022231221230331222
5103412340003343243411
61030055142350333030
732122320145456224
oct3102125551547552
9472743547775220
10110100105056106
1132099213000520
121042217a4ba176
13495851a7a4b79
141d28c32d0b414
15cade52c9ee56
hex6422ada6cf6a

110100105056106 has 96 divisors (see below), whose sum is σ = 274868204345280. Its totient is φ = 31499809286400.

The previous prime is 110100105056063. The next prime is 110100105056113. The reversal of 110100105056106 is 601650501001011.

It is a self number, because there is not a number n which added to its sum of digits gives 110100105056106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48840355 + ... + 51044886.

It is an arithmetic number, because the mean of its divisors is an integer number (2863210461930).

Almost surely, 2110100105056106 is an apocalyptic number.

110100105056106 is an abundant number, since it is smaller than the sum of its proper divisors (164768099289174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110100105056106 is a wasteful number, since it uses less digits than its factorization.

110100105056106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99885572 (or 99885569 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 110100105056106 its reverse (601650501001011), we get a palindrome (711750606057117).

The spelling of 110100105056106 in words is "one hundred ten trillion, one hundred billion, one hundred five million, fifty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 293 342 418 586 627 879 1254 1758 1881 2637 3223 3762 5274 5567 6446 9669 11134 16701 19338 29007 33402 50103 58014 61237 100206 122474 183711 367422 551133 1102266 99885241 199770482 299655723 599311446 898967169 1098737651 1797934338 1897819579 2197475302 3296212953 3795639158 5693458737 6592425906 9888638859 11386917474 17080376211 19777277718 20876015369 29266375613 34160752422 41752030738 58532751226 62628046107 87799126839 125256092214 175598253678 187884138321 263397380517 321930131743 375768276642 526794761034 556061136647 643860263486 965790395229 1112122273294 1668183409941 1931580790458 2897371185687 3336366819882 5004550229823 5794742371374 6116672503117 10009100459646 12233345006234 18350017509351 36700035018702 55050052528053 110100105056106