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105351241423305 = 35238928112210241
BaseRepresentation
bin10111111101000011111111…
…010100100101100111001001
3111211000110222011010200200210
4113331003333110211213021
5102302033320301021210
61012021405301551333
731122242654554533
oct2775037724454711
9454013864120623
10105351241423305
1130628235311759
12b995939715549
1346a276c044617
141c03054c60853
15c2a663013e20
hex5fd0ff5259c9

105351241423305 has 64 divisors (see below), whose sum is σ = 178500062568960. Its totient is φ = 52951415193600.

The previous prime is 105351241423271. The next prime is 105351241423321. The reversal of 105351241423305 is 503324142153501.

It is not a de Polignac number, because 105351241423305 - 220 = 105351240374729 is a prime.

It is a super-2 number, since 2×1053512414233052 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2522985 + ... + 14733225.

It is an arithmetic number, because the mean of its divisors is an integer number (2789063477640).

Almost surely, 2105351241423305 is an apocalyptic number.

105351241423305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105351241423305 is a deficient number, since it is larger than the sum of its proper divisors (73148821145655).

105351241423305 is a wasteful number, since it uses less digits than its factorization.

105351241423305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12210642.

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 105351241423305 its reverse (503324142153501), we get a palindrome (608675383576806).

The spelling of 105351241423305 in words is "one hundred five trillion, three hundred fifty-one billion, two hundred forty-one million, four hundred twenty-three thousand, three hundred five".

Divisors: 1 3 5 15 23 69 89 115 267 281 345 445 843 1335 1405 2047 4215 6141 6463 10235 19389 25009 30705 32315 75027 96945 125045 375135 575207 1725621 2876035 8628105 12210241 36630723 61051205 183153615 280835543 842506629 1086711449 1404177715 3260134347 3431077721 4212533145 5433557245 10293233163 16300671735 17155388605 24994363327 51466165815 74983089981 78914787583 124971816635 236744362749 305365917169 374915449905 394573937915 916097751507 1183721813745 1526829585845 4580488757535 7023416094887 21070248284661 35117080474435 105351241423305