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13000000221 = 3213111111113
BaseRepresentation
bin11000001101101110…
…00100001011011101
31020112222210102202200
430012313010023131
5203111000001341
65545551042113
7640103115165
oct140667041335
936488712680
1013000000221
11557118563a
122629810339
1312c23a1b30
148b47695a5
15511451db6
hex306dc42dd

13000000221 has 12 divisors (see below), whose sum is σ = 20222222748. Its totient is φ = 8000000064.

The previous prime is 13000000217. The next prime is 13000000229. The reversal of 13000000221 is 12200000031.

It is a happy number.

13000000221 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 2 ways, for example, as 720922500 + 12279077721 = 26850^2 + 110811^2 .

It is not a de Polignac number, because 13000000221 - 22 = 13000000217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000000229) 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, 55555440 + ... + 55555673.

It is an arithmetic number, because the mean of its divisors is an integer number (1685185229).

Almost surely, 213000000221 is an apocalyptic number.

It is an amenable number.

13000000221 is a deficient number, since it is larger than the sum of its proper divisors (7222222527).

13000000221 is a wasteful number, since it uses less digits than its factorization.

13000000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111111132 (or 111111129 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 13000000221 its reverse (12200000031), we get a palindrome (25200000252).

The spelling of 13000000221 in words is "thirteen billion, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 111111113 333333339 1000000017 1444444469 4333333407 13000000221