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13000133322 = 23211539912161
BaseRepresentation
bin11000001101101111…
…00100101011001010
31020120000001012100100
430012313210223022
5203111013231242
65545553550230
7640104211221
oct140667445312
936500035310
1013000133322
115571266640
122629875376
1312c241a5a7
148b47a1cb8
1551147b54c
hex306de4aca

13000133322 has 48 divisors (see below), whose sum is σ = 30735806400. Its totient is φ = 3938380800.

The previous prime is 13000133281. The next prime is 13000133323. The reversal of 13000133322 is 22333100031.

13000133322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13000133295 and 13000133304.

It is not an unprimeable number, because it can be changed into a prime (13000133323) 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, 1062922 + ... + 1075082.

It is an arithmetic number, because the mean of its divisors is an integer number (640329300).

Almost surely, 213000133322 is an apocalyptic number.

13000133322 is an abundant number, since it is smaller than the sum of its proper divisors (17735673078).

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

13000133322 is a wasteful number, since it uses less digits than its factorization.

13000133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17579 (or 17576 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13000133322 its reverse (22333100031), we get a palindrome (35333233353).

The spelling of 13000133322 in words is "thirteen billion, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5399 10798 12161 16197 24322 32394 36483 48591 59389 72966 97182 109449 118778 133771 178167 218898 267542 356334 401313 534501 802626 1069002 1203939 2407878 65657239 131314478 196971717 393943434 590915151 722229629 1181830302 1444459258 2166688887 4333377774 6500066661 13000133322