Search a number
-
+
13223002221 = 37111342281
BaseRepresentation
bin11000101000010011…
…10000000001101101
31021010112102010000000
430110021300001231
5204040042032341
610024034454513
7645451443612
oct142411600155
937115363000
1013223002221
115676049310
122690434439
131329650a90
148d6218509
15525d018b6
hex31427006d

13223002221 has 64 divisors (see below), whose sum is σ = 23299073280. Its totient is φ = 7397308800.

The previous prime is 13223002213. The next prime is 13223002249. The reversal of 13223002221 is 12220032231.

13223002221 is a `hidden beast` number, since 1 + 322 + 300 + 22 + 21 = 666.

It is not a de Polignac number, because 13223002221 - 23 = 13223002213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13223002194 and 13223002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223002211) 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, 291601 + ... + 333881.

It is an arithmetic number, because the mean of its divisors is an integer number (364048020).

Almost surely, 213223002221 is an apocalyptic number.

13223002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13223002221 is a deficient number, since it is larger than the sum of its proper divisors (10076071059).

13223002221 is an equidigital number, since it uses as much as digits as its factorization.

13223002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42326 (or 42308 counting only the distinct ones).

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

Adding to 13223002221 its reverse (12220032231), we get a palindrome (25443034452).

The spelling of 13223002221 in words is "thirteen billion, two hundred twenty-three million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 243 297 351 429 729 891 1053 1287 2187 2673 3159 3861 8019 9477 11583 24057 28431 34749 42281 104247 126843 312741 380529 465091 549653 1141587 1395273 1648959 3424761 4185819 4946877 6046183 10274283 12557457 14840631 18138549 30822849 37672371 44521893 54415647 92468547 113017113 133565679 163246941 339051339 400697037 489740823 1017154017 1202091111 1469222469 4407667407 13223002221