Search a number
-
+
13222002112 = 2611191019787
BaseRepresentation
bin11000101000001011…
…11011110111000000
31021010110112022002221
430110011323313000
5204034313031422
610024001220424
7645440110054
oct142405736700
937113468087
1013222002112
115675525980
122690031714
1313293907b7
148d6037c64
15525ba53c7
hex31417bdc0

13222002112 has 112 divisors (see below), whose sum is σ = 30430500480. Its totient is φ = 5636736000.

The previous prime is 13222002109. The next prime is 13222002121. The reversal of 13222002112 is 21120022231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1346083 + ... + 1355869.

Almost surely, 213222002112 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 13222002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215250240).

13222002112 is an abundant number, since it is smaller than the sum of its proper divisors (17208498368).

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

13222002112 is a wasteful number, since it uses less digits than its factorization.

13222002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13222002112 its reverse (21120022231), we get a palindrome (34342024343).

The spelling of 13222002112 in words is "thirteen billion, two hundred twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 101 152 176 202 209 304 352 404 418 608 704 808 836 1111 1216 1616 1672 1919 2222 3232 3344 3838 4444 6464 6688 7676 8888 9787 13376 15352 17776 19574 21109 30704 35552 39148 42218 61408 71104 78296 84436 107657 122816 156592 168872 185953 215314 313184 337744 371906 430628 626368 675488 743812 861256 988487 1350976 1487624 1722512 1976974 2045483 2975248 3445024 3953948 4090966 5950496 6890048 7907896 8181932 10873357 11900992 15815792 16363864 18781253 21746714 31631584 32727728 37562506 43493428 63263168 65455456 75125012 86986856 130910912 150250024 173973712 206593783 300500048 347947424 413187566 601000096 695894848 826375132 1202000192 1652750264 3305500528 6611001056 13222002112