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13003015012 = 22131729507217
BaseRepresentation
bin11000001110000101…
…00100001101100100
31020120012110121021121
430013002210031210
5203112232440022
65550135423324
7640140542521
oct140702441544
936505417247
1013003015012
1155729546a9
12262a824b44
1312c2bb9130
148b4d12148
1551184a2c7
hex3070a4364

13003015012 has 48 divisors (see below), whose sum is σ = 26841976560. Its totient is φ = 5453586432.

The previous prime is 13003015001. The next prime is 13003015013. The reversal of 13003015012 is 21051030031.

It can be written as a sum of positive squares in 8 ways, for example, as 266538276 + 12736476736 = 16326^2 + 112856^2 .

It is not an unprimeable number, because it can be changed into a prime (13003015013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227973 + ... + 279244.

It is an arithmetic number, because the mean of its divisors is an integer number (559207845).

Almost surely, 213003015012 is an apocalyptic number.

It is an amenable number.

13003015012 is an abundant number, since it is smaller than the sum of its proper divisors (13838961548).

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

13003015012 is a wasteful number, since it uses less digits than its factorization.

13003015012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507280 (or 507278 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 13003015012 its reverse (21051030031), we get a palindrome (34054045043).

The spelling of 13003015012 in words is "thirteen billion, three million, fifteen thousand, twelve".

Divisors: 1 2 4 13 17 26 29 34 52 58 68 116 221 377 442 493 754 884 986 1508 1972 6409 12818 25636 507217 1014434 2028868 6593821 8622689 13187642 14709293 17245378 26375284 29418586 34490756 58837172 112094957 191220809 224189914 250057981 382441618 448379828 500115962 764883236 1000231924 3250753753 6501507506 13003015012