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13332210101 = 717172165099
BaseRepresentation
bin11000110101010100…
…10110000110110101
31021102010220110001022
430122222112012311
5204301021210401
610042535310525
7651245626130
oct143252260665
937363813038
1013332210101
115721759861
122700b1b445
131346169722
14906925217
155306c471b
hex31aa961b5

13332210101 has 16 divisors (see below), whose sum is σ = 16142716800. Its totient is φ = 10748981760.

The previous prime is 13332210091. The next prime is 13332210103. The reversal of 13332210101 is 10101223331.

13332210101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13332210101 - 214 = 13332193717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 13332210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332210103) 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 15 ways as a sum of consecutive naturals, for example, 172250 + ... + 237348.

It is an arithmetic number, because the mean of its divisors is an integer number (1008919800).

Almost surely, 213332210101 is an apocalyptic number.

It is an amenable number.

13332210101 is a deficient number, since it is larger than the sum of its proper divisors (2810506699).

13332210101 is a wasteful number, since it uses less digits than its factorization.

13332210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66844.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13332210101 its reverse (10101223331), we get a palindrome (23433433432).

The spelling of 13332210101 in words is "thirteen billion, three hundred thirty-two million, two hundred ten thousand, one hundred one".

Divisors: 1 7 17 119 1721 12047 29257 65099 204799 455693 1106683 7746781 112035379 784247653 1904601443 13332210101