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12230102322 = 232371011131609
BaseRepresentation
bin10110110001111100…
…01000110100110010
31011120100002120101200
423120332020310302
5200021401233242
65341325312030
7612034103664
oct133076106462
934510076350
1012230102322
115206634989
122453a05616
1311cba2b549
148403d8534
154b8a7404c
hex2d8f88d32

12230102322 has 96 divisors (see below), whose sum is σ = 27744640560. Its totient is φ = 3890073600.

The previous prime is 12230102303. The next prime is 12230102323. The reversal of 12230102322 is 22320103221.

12230102322 is a `hidden beast` number, since 12 + 230 + 102 + 322 = 666.

12230102322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11340333081 + 889769241 = 106491^2 + 29829^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12230102295 and 12230102304.

It is not an unprimeable number, because it can be changed into a prime (12230102323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7600254 + ... + 7601862.

Almost surely, 212230102322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230102322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872320280).

12230102322 is an abundant number, since it is smaller than the sum of its proper divisors (15514538238).

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

12230102322 is a wasteful number, since it uses less digits than its factorization.

12230102322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12230102322 its reverse (22320103221), we get a palindrome (34550205543).

The spelling of 12230102322 in words is "twelve billion, two hundred thirty million, one hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 101 111 113 202 222 226 303 333 339 606 666 678 909 1017 1609 1818 2034 3218 3737 4181 4827 7474 8362 9654 11211 11413 12543 14481 22422 22826 25086 28962 33633 34239 37629 59533 67266 68478 75258 102717 119066 162509 178599 181817 205434 325018 357198 363634 422281 487527 535797 545451 844562 975054 1071594 1090902 1266843 1462581 1636353 2533686 2925162 3272706 3800529 6012833 6727229 7601058 12025666 13454458 18038499 18363517 20181687 36076998 36727034 40363374 54115497 55090551 60545061 108230994 110181102 121090122 165271653 330543306 679450129 1358900258 2038350387 4076700774 6115051161 12230102322