Search a number
-
+
112222110221221 = 711132231409356803
BaseRepresentation
bin11001100001000010111111…
…000001000000001110100101
3112201100022212210221221010211
4121201002333001000032211
5104202121340204034341
61034402043053415421
732431531335663160
oct3141027701001645
9481308783857124
10112222110221221
1132837147660680
121070549179a571
134a80665788920
141d9d817144ad7
15ce924bcb6181
hex6610bf0403a5

112222110221221 has 64 divisors (see below), whose sum is σ = 151459358883840. Its totient is φ = 80299974205440.

The previous prime is 112222110221219. The next prime is 112222110221251. The reversal of 112222110221221 is 122122011222211.

It is not a de Polignac number, because 112222110221221 - 21 = 112222110221219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112222110221192 and 112222110221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112222110221251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314342806 + ... + 314699608.

It is an arithmetic number, because the mean of its divisors is an integer number (2366552482560).

Almost surely, 2112222110221221 is an apocalyptic number.

112222110221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112222110221221 is a deficient number, since it is larger than the sum of its proper divisors (39237248662619).

112222110221221 is a wasteful number, since it uses less digits than its factorization.

112222110221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358466.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 112222110221221 its reverse (122122011222211), we get a palindrome (234344121443432).

The spelling of 112222110221221 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred ten million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 223 1001 1409 1561 2453 2899 9863 15499 17171 18317 20293 31889 108493 128219 201487 223223 314207 356803 1410409 2199449 2497621 3456277 3924833 4084691 4638439 24193939 27473831 28592837 32469073 44931601 51022829 79567069 314521207 357159803 502735427 556969483 875237759 1034371897 3519147989 5530089697 6126664313 6535560551 7240603279 11378090867 38710627879 45748923857 71891166061 79646636069 112110000221 503238162427 784770001547 1233210002431 1457430002873 8632470017017 10202010020111 16031730031603 112222110221221