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105426214355 = 57211211397467
BaseRepresentation
bin110001000101111100…
…1000101110111010011
3101002010100000120222202
41202023321011313103
53211403102324410
6120233201353415
710421363015300
oct1421371056723
9332110016882
10105426214355
1140790393280
121852303886b
139c31a5a777
14516198c0a7
152b207d1ca5
hex188be45dd3

105426214355 has 96 divisors (see below), whose sum is σ = 162058620672. Its totient is φ = 65104300800.

The previous prime is 105426214301. The next prime is 105426214363. The reversal of 105426214355 is 553412624501.

It is not a de Polignac number, because 105426214355 - 210 = 105426213331 is a prime.

It is a super-2 number, since 2×1054262143552 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225751832 + ... + 225752298.

It is an arithmetic number, because the mean of its divisors is an integer number (1688110632).

Almost surely, 2105426214355 is an apocalyptic number.

105426214355 is a deficient number, since it is larger than the sum of its proper divisors (56632406317).

105426214355 is a wasteful number, since it uses less digits than its factorization.

105426214355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 105426214355 its reverse (553412624501), we get a palindrome (658838838856).

The spelling of 105426214355 in words is "one hundred five billion, four hundred twenty-six million, two hundred fourteen thousand, three hundred fifty-five".

Divisors: 1 5 7 11 35 49 55 77 211 245 385 397 467 539 1055 1477 1985 2321 2335 2695 2779 3269 4367 5137 7385 10339 11605 13895 16247 16345 19453 21835 22883 25685 30569 35959 51695 81235 83767 97265 98537 113729 114415 152845 179795 185399 213983 251713 418835 492685 568645 586369 689759 921437 926995 1069915 1083907 1258565 1297793 2039389 2931845 3448795 4104583 4607185 4828313 5419535 6450059 6488965 7587349 9084551 10196945 14275723 20522915 24141565 32250295 37936745 39119189 45150413 45422755 53111443 71378615 99930061 195595945 225752065 265557215 273834323 430311079 499650305 1369171615 1916840261 2151555395 3012177553 9584201305 15060887765 21085242871 105426214355