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13315320012 = 2233127315817
BaseRepresentation
bin11000110011010011…
…11010100011001100
31021100222010100012110
430121221322203030
5204232210220022
610041133304020
7650652231651
oct143151724314
937328110173
1013315320012
115713173005
1226b7335010
1313428049a7
149045a9c28
1552de8a00c
hex319a7a8cc

13315320012 has 72 divisors (see below), whose sum is σ = 32545471728. Its totient is φ = 4236157440.

The previous prime is 13315319999. The next prime is 13315320013. The reversal of 13315320012 is 21002351331.

13315320012 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 not an unprimeable number, because it can be changed into a prime (13315320013) 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 23 ways as a sum of consecutive naturals, for example, 833928 + ... + 849744.

Almost surely, 213315320012 is an apocalyptic number.

13315320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13315320012 is an abundant number, since it is smaller than the sum of its proper divisors (19230151716).

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

13315320012 is a wasteful number, since it uses less digits than its factorization.

13315320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15959 (or 15926 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13315320012 its reverse (21002351331), we get a palindrome (34317671343).

The spelling of 13315320012 in words is "thirteen billion, three hundred fifteen million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 73 93 124 146 186 219 292 372 438 876 961 1922 2263 2883 3844 4526 5766 6789 9052 11532 13578 15817 27156 31634 47451 63268 70153 94902 140306 189804 210459 280612 420918 490327 841836 980654 1154641 1470981 1961308 2309282 2941962 3463923 4618564 5883924 6927846 13855692 15200137 30400274 35793871 45600411 60800548 71587742 91200822 107381613 143175484 182401644 214763226 429526452 1109610001 2219220002 3328830003 4438440004 6657660006 13315320012