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2013324144221 = 131740577224513
BaseRepresentation
bin11101010011000011011…
…110000110111001011101
321010110202000120111201002
4131103003132012321131
5230441241440103341
64140524111400045
7265313022601415
oct35230336067135
97113660514632
102013324144221
11706933aa0625
12286242223025
13117b17b38690
146d6342b5645
1537587b0c29b
hex1d4c3786e5d

2013324144221 has 16 divisors (see below), whose sum is σ = 2295802931184. Its totient is φ = 1749081391104.

The previous prime is 2013324144199. The next prime is 2013324144241. The reversal of 2013324144221 is 1224414233102.

It can be written as a sum of positive squares in 8 ways, for example, as 243729816100 + 1769594328121 = 493690^2 + 1330261^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013324144221 - 26 = 2013324144157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013324144241) 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 15 ways as a sum of consecutive naturals, for example, 8855261 + ... + 9079773.

It is an arithmetic number, because the mean of its divisors is an integer number (143487683199).

Almost surely, 22013324144221 is an apocalyptic number.

It is an amenable number.

2013324144221 is a deficient number, since it is larger than the sum of its proper divisors (282478786963).

2013324144221 is a wasteful number, since it uses less digits than its factorization.

2013324144221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265120.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2013324144221 its reverse (1224414233102), we get a palindrome (3237738377323).

The spelling of 2013324144221 in words is "two trillion, thirteen billion, three hundred twenty-four million, one hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 13 17 221 40577 224513 527501 689809 2918669 3816721 8967517 49617373 9110064001 118430832013 154871088017 2013324144221