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13322132103 = 3721393531847
BaseRepresentation
bin11000110100000111…
…11001101010000111
31021101102221102122010
430122003321222013
5204240431211403
610041535305303
7651064153200
oct143203715207
937342842563
1013322132103
115716aa6035
1226b967b233
13134404b507
149054605a7
1552e883603
hex31a0f9a87

13322132103 has 48 divisors (see below), whose sum is σ = 20881808640. Its totient is φ = 7532388864.

The previous prime is 13322132081. The next prime is 13322132141. The reversal of 13322132103 is 30123122331.

13322132103 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 13322132103 - 26 = 13322132039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13322132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322132183) 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 47 ways as a sum of consecutive naturals, for example, 7211926 + ... + 7213772.

It is an arithmetic number, because the mean of its divisors is an integer number (435037680).

Almost surely, 213322132103 is an apocalyptic number.

13322132103 is a deficient number, since it is larger than the sum of its proper divisors (7559676537).

13322132103 is a wasteful number, since it uses less digits than its factorization.

13322132103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13322132103 its reverse (30123122331), we get a palindrome (43445254434).

The spelling of 13322132103 in words is "thirteen billion, three hundred twenty-two million, one hundred thirty-two thousand, one hundred three".

Divisors: 1 3 7 21 49 139 147 353 417 973 1059 1847 2471 2919 5541 6811 7413 12929 17297 20433 38787 49067 51891 90503 147201 256733 271509 343469 651991 770199 1030407 1797131 1955973 2404283 4563937 5391393 7212849 12579917 13691811 31947559 37739751 90626749 95842677 271880247 634387243 1903161729 4440710701 13322132103