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13222122021 = 3319412232819
BaseRepresentation
bin11000101000001100…
…11001001000100101
31021010110202101121000
430110012121020211
5204034330401041
610024003543513
7645441116463
oct142406311045
937113671530
1013222122021
1156755a7a79
12269008ab99
131329403254
148d6069833
15525bcabb6
hex314199225

13222122021 has 64 divisors (see below), whose sum is σ = 21224448000. Its totient is φ = 8107724160.

The previous prime is 13222121993. The next prime is 13222122049. The reversal of 13222122021 is 12022122231.

It is an interprime number because it is at equal distance from previous prime (13222121993) and next prime (13222122049).

It is not a de Polignac number, because 13222122021 - 27 = 13222121893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13222121985 and 13222122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222122071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4688950 + ... + 4691768.

It is an arithmetic number, because the mean of its divisors is an integer number (331632000).

Almost surely, 213222122021 is an apocalyptic number.

It is an amenable number.

13222122021 is a deficient number, since it is larger than the sum of its proper divisors (8002325979).

13222122021 is a wasteful number, since it uses less digits than its factorization.

13222122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13222122021 its reverse (12022122231), we get a palindrome (25244244252).

The spelling of 13222122021 in words is "thirteen billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 19 27 41 57 123 171 223 369 513 669 779 1107 2007 2337 2819 4237 6021 7011 8457 9143 12711 21033 25371 27429 38133 53561 76113 82287 114399 115579 160683 173717 246861 346737 482049 521151 628637 1040211 1446147 1563453 1885911 2196001 3120633 4690359 5657733 6588003 11944103 16973199 19764009 25774117 35832309 59292027 77322351 107496927 231967053 322490781 489708223 695901159 1469124669 4407374007 13222122021