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13221023013 = 3311214512789
BaseRepresentation
bin11000101000000100…
…01100110100100101
31021010101200120001000
430110002030310211
5204034040214023
610023524223513
7645425561412
oct142402146445
937111616030
1013221023013
115674a17300
12268b83ab99
131329109c53
148d5c61109
15525a60243
hex31408cd25

13221023013 has 48 divisors (see below), whose sum is σ = 21551745600. Its totient is φ = 8004348000.

The previous prime is 13221022999. The next prime is 13221023033. The reversal of 13221023013 is 31032012231.

It is not a de Polignac number, because 13221023013 - 25 = 13221022981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221023033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4739023 + ... + 4741811.

It is an arithmetic number, because the mean of its divisors is an integer number (448994700).

Almost surely, 213221023013 is an apocalyptic number.

It is an amenable number.

13221023013 is a deficient number, since it is larger than the sum of its proper divisors (8330722587).

13221023013 is a wasteful number, since it uses less digits than its factorization.

13221023013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4254 counting only the distinct ones).

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

Adding to 13221023013 its reverse (31032012231), we get a palindrome (44253035244).

The spelling of 13221023013 in words is "thirteen billion, two hundred twenty-one million, twenty-three thousand, thirteen".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 1451 2789 3267 4353 8367 13059 15961 25101 30679 39177 47883 75303 92037 143649 175571 276111 337469 430947 526713 828333 1012407 1580139 3037221 4046839 4740417 9111663 12140517 36421551 44515229 109264653 133545687 400637061 489667519 1201911183 1469002557 4407007671 13221023013