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13221132342 = 23114310494441
BaseRepresentation
bin11000101000000101…
…00111100000110110
31021010101220010000020
430110002213200312
5204034102213332
610023530430010
7645426525225
oct142402474066
937111803006
1013221132342
115674a91460
12268b892306
131329147942
148d5c8ccbc
15525a8282c
hex3140a7836

13221132342 has 64 divisors (see below), whose sum is σ = 29551737600. Its totient is φ = 3908620800.

The previous prime is 13221132341. The next prime is 13221132377. The reversal of 13221132342 is 24323112231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221132341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2974842 + ... + 2979282.

It is an arithmetic number, because the mean of its divisors is an integer number (461745900).

Almost surely, 213221132342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221132342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14775868800).

13221132342 is an abundant number, since it is smaller than the sum of its proper divisors (16330605258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13221132342 is a wasteful number, since it uses less digits than its factorization.

13221132342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549.

The product of its digits is 1728, while the sum is 24.

Adding to 13221132342 its reverse (24323112231), we get a palindrome (37544244573).

The spelling of 13221132342 in words is "thirteen billion, two hundred twenty-one million, one hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1049 1419 2098 2838 3147 4441 6294 8882 11539 13323 23078 26646 34617 45107 48851 69234 90214 97702 135321 146553 190963 270642 293106 381926 496177 572889 992354 1145778 1488531 2100593 2977062 4201186 4658609 6301779 9317218 12603558 13975827 27951654 51244699 102489398 153734097 200320187 307468194 400640374 600960561 1201921122 2203522057 4407044114 6610566171 13221132342