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12102241524205 = 574789636712983
BaseRepresentation
bin1011000000011100010111…
…0011101001100111101101
31120211222000000112200012011
42300013011303221213231
53041240342312233310
641423405404441221
72356233553434010
oct260070563514755
946758000480164
1012102241524205
113946593921248
1214355b4249211
1369a30c70c1c1
142dba74609377
1515ec18d2a78a
hexb01c5ce99ed

12102241524205 has 64 divisors (see below), whose sum is σ = 17144962744320. Its totient is φ = 8028972762624.

The previous prime is 12102241524193. The next prime is 12102241524211. The reversal of 12102241524205 is 50242514220121.

It is a cyclic number.

It is not a de Polignac number, because 12102241524205 - 25 = 12102241524173 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 932154144 + ... + 932167126.

It is an arithmetic number, because the mean of its divisors is an integer number (267890042880).

Almost surely, 212102241524205 is an apocalyptic number.

It is an amenable number.

12102241524205 is a deficient number, since it is larger than the sum of its proper divisors (5042721220115).

12102241524205 is a wasteful number, since it uses less digits than its factorization.

12102241524205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19498.

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 12102241524205 its reverse (50242514220121), we get a palindrome (62344755744326).

The spelling of 12102241524205 in words is "twelve trillion, one hundred two billion, two hundred forty-one million, five hundred twenty-four thousand, two hundred five".

Divisors: 1 5 7 35 47 89 235 329 445 623 1645 3115 4183 6367 12983 20915 29281 31835 44569 64915 90881 146405 222845 299249 454405 566663 610201 1155487 1496245 2094743 2833315 3051005 3966641 4271407 5777435 8088409 10473715 19833205 21357035 26633161 40442045 54307889 82662761 133165805 186432127 271539445 380155223 413313805 578639327 932160635 1900776115 2893196635 3885149767 7356985729 19425748835 27196048369 36784928645 51498900103 135980241845 257494500515 345778329263 1728891646315 2420448304841 12102241524205