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13222330101 = 323776152177
BaseRepresentation
bin11000101000001110…
…01011111011110101
31021010111010222000200
430110013023323311
5204034404030401
610024012231113
7645442644231
oct142407137365
937114128020
1013222330101
11567572a342
12269016b499
131329476b86
148d60c15c1
15525c1c686
hex3141cbef5

13222330101 has 24 divisors (see below), whose sum is σ = 19641260184. Its totient is φ = 8565212160.

The previous prime is 13222330097. The next prime is 13222330139. The reversal of 13222330101 is 10103322231.

13222330101 is a `hidden beast` number, since 1 + 322 + 2 + 330 + 10 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202379076 + 13019951025 = 14226^2 + 114105^2 .

It is not a de Polignac number, because 13222330101 - 22 = 13222330097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222330181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227325 + ... + 279501.

It is an arithmetic number, because the mean of its divisors is an integer number (818385841).

Almost surely, 213222330101 is an apocalyptic number.

It is an amenable number.

13222330101 is a deficient number, since it is larger than the sum of its proper divisors (6418930083).

13222330101 is a wasteful number, since it uses less digits than its factorization.

13222330101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52981 (or 52978 counting only the distinct ones).

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

Adding to 13222330101 its reverse (10103322231), we get a palindrome (23325652332).

The spelling of 13222330101 in words is "thirteen billion, two hundred twenty-two million, three hundred thirty thousand, one hundred one".

Divisors: 1 3 9 37 111 333 761 2283 6849 28157 52177 84471 156531 253413 469593 1930549 5791647 17374941 39706697 119120091 357360273 1469147789 4407443367 13222330101