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13224321 = 3211312139
BaseRepresentation
bin110010011100…
…100110000001
3220212212100200
4302130212001
511341134241
61151235413
7220255605
oct62344601
926785320
1013224321
1175126a0
124518b69
132980356
141a83505
1512634b6
hexc9c981

13224321 has 36 divisors (see below), whose sum is σ = 21687120. Its totient is φ = 7700400.

The previous prime is 13224313. The next prime is 13224331. The reversal of 13224321 is 12342231.

It is not a de Polignac number, because 13224321 - 23 = 13224313 is a prime.

It is a super-2 number, since 2×132243212 = 349765331822082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13224294 and 13224303.

It is not an unprimeable number, because it can be changed into a prime (13224331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95070 + ... + 95208.

It is an arithmetic number, because the mean of its divisors is an integer number (602420).

Almost surely, 213224321 is an apocalyptic number.

13224321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13224321 is a deficient number, since it is larger than the sum of its proper divisors (8462799).

13224321 is a wasteful number, since it uses less digits than its factorization.

13224321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 184 counting only the distinct ones).

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

The square root of 13224321 is about 3636.5259520592. The cubic root of 13224321 is about 236.4782089826.

Adding to 13224321 its reverse (12342231), we get a palindrome (25566552).

The spelling of 13224321 in words is "thirteen million, two hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 11 31 33 93 99 139 279 341 417 961 1023 1251 1529 2883 3069 4309 4587 8649 10571 12927 13761 31713 38781 47399 95139 133579 142197 400737 426591 1202211 1469369 4408107 13224321