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242124302112102 = 232412243146269153
BaseRepresentation
bin110111000011010111110101…
…000001001101010101100110
31011202021212010220202110200200
4313003113311001031111212
5223213431032320041402
62214542211400251330
7101666621630402604
oct6703276501152546
91152255126673620
10242124302112102
117016a381413873
12231a538aa70b46
13a5142ba683a17
1443b0c4340c874
151ced31e78e21c
hexdc35f504d566

242124302112102 has 48 divisors (see below), whose sum is σ = 537637433821488. Its totient is φ = 78704505308160.

The previous prime is 242124302112089. The next prime is 242124302112103. The reversal of 242124302112102 is 201211203421242.

242124302112102 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 2 + 430 + 2 + 11 + 210 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242124302112103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71479243 + ... + 74789910.

It is an arithmetic number, because the mean of its divisors is an integer number (11200779871281).

Almost surely, 2242124302112102 is an apocalyptic number.

242124302112102 is an abundant number, since it is smaller than the sum of its proper divisors (295513131709386).

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

242124302112102 is a wasteful number, since it uses less digits than its factorization.

242124302112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146271445 (or 146271442 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 242124302112102 its reverse (201211203421242), we get a palindrome (443335505533344).

The spelling of 242124302112102 in words is "two hundred forty-two trillion, one hundred twenty-four billion, three hundred two million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 2243 4486 6729 13458 20187 40374 91963 183926 275889 551778 827667 1655334 146269153 292538306 438807459 877614918 1316422377 2632844754 5997035273 11994070546 17991105819 35982211638 53973317457 107946634914 328081710179 656163420358 984245130537 1968490261074 2952735391611 5905470783222 13451350117339 26902700234678 40354050352017 80708100704034 121062151056051 242124302112102