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22321312311332 = 229846895667097
BaseRepresentation
bin1010001001101000101011…
…11001000010100000100100
32221000220012122002222100002
411010310111321002200210
510411203021422430312
6115250134101040432
74462442633063636
oct504642571024044
987026178088302
1022321312311332
117126462980061
12260602a3b6118
13c5bb76baa1c8
1457250053ca56
1528a9665b14c2
hex144d15e42824

22321312311332 has 12 divisors (see below), whose sum is σ = 39062343107340. Its totient is φ = 11160642852096.

The previous prime is 22321312311317. The next prime is 22321312311343. The reversal of 22321312311332 is 23311321312322.

It can be written as a sum of positive squares in 2 ways, for example, as 17516518455076 + 4804793856256 = 4185274^2 + 2191984^2 .

It is a super-3 number, since 3×223213123113323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22321312311295 and 22321312311304.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1105208 + ... + 6772304.

It is an arithmetic number, because the mean of its divisors is an integer number (3255195258945).

Almost surely, 222321312311332 is an apocalyptic number.

It is an amenable number.

22321312311332 is a deficient number, since it is larger than the sum of its proper divisors (16741030796008).

22321312311332 is a wasteful number, since it uses less digits than its factorization.

22321312311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651790 (or 6651788 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

Adding to 22321312311332 its reverse (23311321312322), we get a palindrome (45632633623654).

The spelling of 22321312311332 in words is "twenty-two trillion, three hundred twenty-one billion, three hundred twelve million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 984689 1969378 3938756 5667097 11334194 22668388 5580328077833 11160656155666 22321312311332