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13221221312 = 2613107148513
BaseRepresentation
bin11000101000000101…
…11101001111000000
31021010102001122001102
430110002331033000
5204034113040222
610023532353532
7645430345505
oct142402751700
937112048042
1013221221312
115675042292
12268b9158a8
1313291792a0
148d5cb34ac
15525a9dd92
hex3140bd3c0

13221221312 has 56 divisors (see below), whose sum is σ = 28518252336. Its totient is φ = 6045032448.

The previous prime is 13221221267. The next prime is 13221221327. The reversal of 13221221312 is 21312212231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14768 + ... + 163280.

It is an arithmetic number, because the mean of its divisors is an integer number (509254506).

Almost surely, 213221221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259126168).

13221221312 is an abundant number, since it is smaller than the sum of its proper divisors (15297031024).

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

13221221312 is a wasteful number, since it uses less digits than its factorization.

13221221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148645 (or 148635 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

Adding to 13221221312 its reverse (21312212231), we get a palindrome (34533433543).

The spelling of 13221221312 in words is "thirteen billion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 208 214 416 428 832 856 1391 1712 2782 3424 5564 6848 11128 22256 44512 89024 148513 297026 594052 1188104 1930669 2376208 3861338 4752416 7722676 9504832 15445352 15890891 30890704 31781782 61781408 63563564 123562816 127127128 206581583 254254256 413163166 508508512 826326332 1017017024 1652652664 3305305328 6610610656 13221221312