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13323000141 = 3211134575759
BaseRepresentation
bin11000110100001110…
…01101100101001101
31021101111120112100200
430122013031211031
5204241142001031
610042010044113
7651104430003
oct143207154515
937344515320
1013323000141
115717539220
1226b9a19639
131344293649
14905608a73
1552e9a58e6
hex31a1cd94d

13323000141 has 12 divisors (see below), whose sum is σ = 20993818560. Its totient is φ = 8074545480.

The previous prime is 13323000091. The next prime is 13323000161. The reversal of 13323000141 is 14100032331.

13323000141 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 13323000141 - 210 = 13322999117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323000161) 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 11 ways as a sum of consecutive naturals, for example, 67287781 + ... + 67287978.

It is an arithmetic number, because the mean of its divisors is an integer number (1749484880).

Almost surely, 213323000141 is an apocalyptic number.

13323000141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13323000141 is a deficient number, since it is larger than the sum of its proper divisors (7670818419).

13323000141 is a wasteful number, since it uses less digits than its factorization.

13323000141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134575776 (or 134575773 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13323000141 its reverse (14100032331), we get a palindrome (27423032472).

The spelling of 13323000141 in words is "thirteen billion, three hundred twenty-three million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 11 33 99 134575759 403727277 1211181831 1480333349 4441000047 13323000141