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13222331343 = 3213267129749
BaseRepresentation
bin11000101000001110…
…01100001111001111
31021010111011000201200
430110013030033033
5204034404100333
610024012240543
7645442650654
oct142407141717
937114130650
1013222331343
115675730271
122690170153
131329477600
148d60c1c2b
15525c1cc13
hex3141cc3cf

13222331343 has 36 divisors (see below), whose sum is σ = 20989917000. Its totient is φ = 8015312448.

The previous prime is 13222331329. The next prime is 13222331387. The reversal of 13222331343 is 34313322231.

13222331343 is a `hidden beast` number, since 1 + 322 + 2 + 331 + 3 + 4 + 3 = 666.

13222331343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13222331343 - 212 = 13222327247 is a prime.

It is a super-2 number, since 2×132223313432 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222331443) 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 35 ways as a sum of consecutive naturals, for example, 37033 + ... + 166781.

It is an arithmetic number, because the mean of its divisors is an integer number (583053250).

Almost surely, 213222331343 is an apocalyptic number.

13222331343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13222331343 is a deficient number, since it is larger than the sum of its proper divisors (7767585657).

13222331343 is a wasteful number, since it uses less digits than its factorization.

13222331343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129848 (or 129832 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 13222331343 its reverse (34313322231), we get a palindrome (47535653574).

The spelling of 13222331343 in words is "thirteen billion, two hundred twenty-two million, three hundred thirty-one thousand, three hundred forty-three".

Divisors: 1 3 9 13 39 67 117 169 201 507 603 871 1521 2613 7839 11323 33969 101907 129749 389247 1167741 1686737 5060211 8693183 15180633 21927581 26079549 65782743 78238647 113011379 197348229 339034137 1017102411 1469147927 4407443781 13222331343