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13345130565 = 3351333122973
BaseRepresentation
bin11000110110110111…
…01000100001000101
31021110001012212121000
430123123220201011
5204312323134230
610044120243513
7651463511124
oct143333504105
937401185530
1013345130565
115728a84128
122705310599
131348a41680
14908529abb
155318c7b60
hex31b6e8845

13345130565 has 64 divisors (see below), whose sum is σ = 25627956480. Its totient is φ = 6549776640.

The previous prime is 13345130531. The next prime is 13345130569. The reversal of 13345130565 is 56503154331.

13345130565 is a `hidden beast` number, since 1 + 3 + 345 + 1 + 305 + 6 + 5 = 666.

It is not a de Polignac number, because 13345130565 - 216 = 13345065029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345130569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569419 + ... + 592391.

It is an arithmetic number, because the mean of its divisors is an integer number (400436820).

Almost surely, 213345130565 is an apocalyptic number.

13345130565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13345130565 is a deficient number, since it is larger than the sum of its proper divisors (12282825915).

13345130565 is a wasteful number, since it uses less digits than its factorization.

13345130565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23331 (or 23325 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 13345130565 its reverse (56503154331), we get a palindrome (69848284896).

The spelling of 13345130565 in words is "thirteen billion, three hundred forty-five million, one hundred thirty thousand, five hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 331 351 585 993 1655 1755 2979 4303 4965 8937 12909 14895 21515 22973 38727 44685 64545 68919 114865 116181 193635 206757 298649 344595 580905 620271 895947 1033785 1493245 2687841 3101355 4479735 7604063 8063523 13439205 22812189 38020315 40317615 68436567 98852819 114060945 205309701 296558457 342182835 494264095 889675371 1026548505 1482792285 2669026113 4448376855 13345130565