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23221100030013 = 3217973315593537
BaseRepresentation
bin1010100011110100101010…
…11010110010100000111101
310001012220201101110001100100
411101322111122302200331
511020423303101430023
6121215343122351313
74614445335356334
oct521722532624075
9101186641401310
1023221100030013
117443016659846
1227304a34bb539
13cc598169bc62
145a3c9b666d1b
152a407a159c43
hex151e956b283d

23221100030013 has 24 divisors (see below), whose sum is σ = 35518274740728. Its totient is φ = 14568604065792.

The previous prime is 23221100029909. The next prime is 23221100030039. The reversal of 23221100030013 is 31003000112232.

23221100030013 is a `hidden beast` number, since 232 + 21 + 100 + 0 + 300 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12239551229049 + 10981548800964 = 3498507^2 + 3313842^2 .

It is not a de Polignac number, because 23221100030013 - 218 = 23221099767869 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23221100030053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6307620 + ... + 9285917.

It is an arithmetic number, because the mean of its divisors is an integer number (1479928114197).

Almost surely, 223221100030013 is an apocalyptic number.

It is an amenable number.

23221100030013 is a deficient number, since it is larger than the sum of its proper divisors (12297174710715).

23221100030013 is a wasteful number, since it uses less digits than its factorization.

23221100030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15603293 (or 15603290 counting only the distinct ones).

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

Adding to 23221100030013 its reverse (31003000112232), we get a palindrome (54224100142245).

The spelling of 23221100030013 in words is "twenty-three trillion, two hundred twenty-one billion, one hundred million, thirty thousand, thirteen".

Divisors: 1 3 9 17 51 153 9733 29199 87597 165461 496383 1489149 15593537 46780611 140341833 265090129 795270387 2385811161 151771895621 455315686863 1365947060589 2580122225557 7740366676671 23221100030013