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13322002213 = 131773978513
BaseRepresentation
bin11000110100000110…
…11001111100100101
31021101102200211110101
430122003121330211
5204240413032323
610041532424101
7651063102412
oct143203317445
937342624411
1013322002213
115716a17493
1226b9618031
131344004360
14905429109
1552e859dad
hex31a0d9f25

13322002213 has 32 divisors (see below), whose sum is σ = 15559369056. Its totient is φ = 11296309248.

The previous prime is 13322002207. The next prime is 13322002237. The reversal of 13322002213 is 31220022331.

13322002213 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 16 ways, for example, as 175774564 + 13146227649 = 13258^2 + 114657^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13322002213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322002283) 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 31 ways as a sum of consecutive naturals, for example, 1560645 + ... + 1569157.

It is an arithmetic number, because the mean of its divisors is an integer number (486230283).

Almost surely, 213322002213 is an apocalyptic number.

13322002213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13322002213 is a deficient number, since it is larger than the sum of its proper divisors (2237366843).

13322002213 is a wasteful number, since it uses less digits than its factorization.

13322002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13322002213 its reverse (31220022331), we get a palindrome (44542024544).

The spelling of 13322002213 in words is "thirteen billion, three hundred twenty-two million, two thousand, two hundred thirteen".

Divisors: 1 13 17 73 97 221 949 1241 1261 1649 7081 8513 16133 21437 92053 110669 120377 144721 621449 825761 1564901 1881373 8078837 10564633 10734893 14037937 60280553 137340229 182493181 783647189 1024769401 13322002213