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13210340121 = 32111913153611
BaseRepresentation
bin11000100110110010…
…11100101100011001
31021002122120210212100
430103121130230121
5204023321340441
610022503234013
7645236016066
oct142331345431
937078523770
1013210340121
115669990070
122688148909
131326b39604
148d467dc6d
15524b4ecb6
hex31365cb19

13210340121 has 48 divisors (see below), whose sum is σ = 22079566080. Its totient is φ = 7526844000.

The previous prime is 13210340119. The next prime is 13210340167. The reversal of 13210340121 is 12104301231.

13210340121 is a `hidden beast` number, since 1 + 321 + 0 + 340 + 1 + 2 + 1 = 666.

13210340121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13210340121 - 21 = 13210340119 is a prime.

It is a super-2 number, since 2×132103401212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13210340094 and 13210340103.

It is not an unprimeable number, because it can be changed into a prime (13210340021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219606 + ... + 273216.

It is an arithmetic number, because the mean of its divisors is an integer number (459990960).

Almost surely, 213210340121 is an apocalyptic number.

13210340121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13210340121 is a deficient number, since it is larger than the sum of its proper divisors (8869225959).

13210340121 is a wasteful number, since it uses less digits than its factorization.

13210340121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53778 (or 53775 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13210340121 its reverse (12104301231), we get a palindrome (25314641352).

The spelling of 13210340121 in words is "thirteen billion, two hundred ten million, three hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 99 131 171 209 393 627 1179 1441 1881 2489 4323 7467 12969 22401 27379 53611 82137 160833 246411 482499 589721 1018609 1769163 3055827 5307489 7023041 9167481 11204699 21069123 33614097 63207369 77253451 100842291 133437779 231760353 400313337 695281059 1200940011 1467815569 4403446707 13210340121