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13324103505 = 345291134449
BaseRepresentation
bin11000110100010110…
…11010111101010001
31021101120122120220000
430122023122331101
5204241432303010
610042045440213
7651120003546
oct143213327521
937346576800
1013324103505
115718122199
1226ba270069
13134458b91b
14905814bcd
1552eb227c0
hex31a2daf51

13324103505 has 40 divisors (see below), whose sum is σ = 24708321000. Its totient is φ = 6861141504.

The previous prime is 13324103491. The next prime is 13324103509. The reversal of 13324103505 is 50530142331.

13324103505 is a `hidden beast` number, since 1 + 33 + 24 + 103 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36469521 + 13287633984 = 6039^2 + 115272^2 .

It is not a de Polignac number, because 13324103505 - 25 = 13324103473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13324103509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 555480 + ... + 578969.

It is an arithmetic number, because the mean of its divisors is an integer number (617708025).

Almost surely, 213324103505 is an apocalyptic number.

13324103505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13324103505 is a deficient number, since it is larger than the sum of its proper divisors (11384217495).

13324103505 is a wasteful number, since it uses less digits than its factorization.

13324103505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134495 (or 1134486 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13324103505 its reverse (50530142331), we get a palindrome (63854245836).

The spelling of 13324103505 in words is "thirteen billion, three hundred twenty-four million, one hundred three thousand, five hundred five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 261 405 435 783 1305 2349 3915 11745 1134449 3403347 5672245 10210041 17016735 30630123 32899021 51050205 91890369 98697063 153150615 164495105 296091189 459451845 493485315 888273567 1480455945 2664820701 4441367835 13324103505