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13121213304 = 2337323473191
BaseRepresentation
bin11000011100001010…
…11101001101111000
31020212102212200212010
430032011131031320
5203333012311204
610010001045520
7643104321123
oct141605351570
936772780763
1013121213304
115623645841
1226623268a0
131311531c54
148c68bd3ba
1551bde6d89
hex30e15d378

13121213304 has 64 divisors (see below), whose sum is σ = 33276983040. Its totient is φ = 4310634240.

The previous prime is 13121213293. The next prime is 13121213317. The reversal of 13121213304 is 40331212131.

13121213304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4110349 + ... + 4113539.

It is an arithmetic number, because the mean of its divisors is an integer number (519952860).

Almost surely, 213121213304 is an apocalyptic number.

It is an amenable number.

13121213304 is an abundant number, since it is smaller than the sum of its proper divisors (20155769736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13121213304 is a wasteful number, since it uses less digits than its factorization.

13121213304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13121213304 its reverse (40331212131), we get a palindrome (53452425435).

The spelling of 13121213304 in words is "thirteen billion, one hundred twenty-one million, two hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 2347 3191 4694 6382 7041 9388 9573 12764 14082 18776 19146 25528 28164 38292 56328 76584 171331 232943 342662 465886 513993 685324 698829 931772 1027986 1370648 1397658 1863544 2055972 2795316 4111944 5590632 7489277 14978554 22467831 29957108 44935662 59914216 89871324 179742648 546717221 1093434442 1640151663 2186868884 3280303326 4373737768 6560606652 13121213304