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13333333338 = 2321363538969
BaseRepresentation
bin11000110101011101…
…01000010101011010
31021102020000111211200
430122232220111122
5204301313131323
610043015335030
7651261314643
oct143256502532
937366014750
1013333333338
115722356756
122701381476
131346470a70
14906b386ca
15530847443
hex31aba855a

13333333338 has 48 divisors (see below), whose sum is σ = 31119477480. Its totient is φ = 4101460992.

The previous prime is 13333333319. The next prime is 13333333339. The reversal of 13333333338 is 83333333331.

13333333338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9153322929 + 4180010409 = 95673^2 + 64653^2 .

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (13333333339) 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, 1482118 + ... + 1491086.

Almost surely, 213333333338 is an apocalyptic number.

13333333338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13333333338 is an abundant number, since it is smaller than the sum of its proper divisors (17786144142).

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

13333333338 is a wasteful number, since it uses less digits than its factorization.

13333333338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15343 (or 15340 counting only the distinct ones).

The product of its digits is 157464, while the sum is 36.

Adding to 13333333338 its reverse (83333333331), we get a palindrome (96666666669).

The spelling of 13333333338 in words is "thirteen billion, three hundred thirty-three million, three hundred thirty-three thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 6353 8969 12706 17938 19059 26907 38118 53814 57177 80721 82589 114354 116597 161442 165178 233194 247767 349791 495534 699582 743301 1049373 1486602 2098746 56980057 113960114 170940171 341880342 512820513 740740741 1025641026 1481481482 2222222223 4444444446 6666666669 13333333338