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13522416105 = 35112232271427
BaseRepresentation
bin11001001011111111…
…11011000111101001
31021220101210220122010
430211333323013221
5210143214303410
610113452150133
7656045432442
oct144577730751
937811726563
1013522416105
11580a062400
122754768349
1313766a4b63
14923cb82c9
15542246c20
hex325ffb1e9

13522416105 has 96 divisors (see below), whose sum is σ = 24942339072. Its totient is φ = 6239263360.

The previous prime is 13522416053. The next prime is 13522416137. The reversal of 13522416105 is 50161422531.

It is not a de Polignac number, because 13522416105 - 214 = 13522399721 is a prime.

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, 9475402 + ... + 9476828.

It is an arithmetic number, because the mean of its divisors is an integer number (259816032).

Almost surely, 213522416105 is an apocalyptic number.

13522416105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13522416105 is a deficient number, since it is larger than the sum of its proper divisors (11419922967).

13522416105 is a wasteful number, since it uses less digits than its factorization.

13522416105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 13522416105 its reverse (50161422531), we get a palindrome (63683838636).

The spelling of 13522416105 in words is "thirteen billion, five hundred twenty-two million, four hundred sixteen thousand, one hundred five".

Divisors: 1 3 5 11 15 23 33 55 69 115 121 165 227 253 345 363 605 681 759 1135 1265 1427 1815 2497 2783 3405 3795 4281 5221 7135 7491 8349 12485 13915 15663 15697 21405 26105 27467 32821 37455 41745 47091 57431 78315 78485 82401 98463 137335 164105 172293 172667 235455 287155 323929 361031 412005 492315 518001 631741 861465 863335 971787 1083093 1619645 1805155 1895223 2590005 3158705 3563219 3971341 4858935 5415465 7450367 9476115 10689657 11914023 17816095 19856705 22351101 37251835 39195409 53448285 59570115 81954037 111755505 117586227 195977045 245862111 409770185 587931135 901494407 1229310555 2704483221 4507472035 13522416105