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13221101101 = 131017007777
BaseRepresentation
bin11000101000000100…
…11111111000101101
31021010101211112011011
430110002133320231
5204034100213401
610023530025221
7645426335155
oct142402377055
937111745134
1013221101101
115674a6aa3a
12268b878211
131329136660
148d5c81765
15525a78451
hex31409fe2d

13221101101 has 4 divisors (see below), whose sum is σ = 14238108892. Its totient is φ = 12204093312.

The previous prime is 13221101083. The next prime is 13221101129. The reversal of 13221101101 is 10110112231.

It is a happy number.

13221101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10110112231 = 23439570097.

It can be written as a sum of positive squares in 2 ways, for example, as 5389028100 + 7832073001 = 73410^2 + 88499^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221101101 - 213 = 13221092909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 1017007777 = 13221101101 / (1 + 3 + 2 + 2 + 1 + 1 + 0 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221101141) 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 3 ways as a sum of consecutive naturals, for example, 508503876 + ... + 508503901.

It is an arithmetic number, because the mean of its divisors is an integer number (3559527223).

Almost surely, 213221101101 is an apocalyptic number.

It is an amenable number.

13221101101 is a deficient number, since it is larger than the sum of its proper divisors (1017007791).

13221101101 is a wasteful number, since it uses less digits than its factorization.

13221101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017007790.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 13221101101 its reverse (10110112231), we get a palindrome (23331213332).

The spelling of 13221101101 in words is "thirteen billion, two hundred twenty-one million, one hundred one thousand, one hundred one".

Divisors: 1 13 1017007777 13221101101