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13003212222 = 232721113131787
BaseRepresentation
bin11000001110000110…
…10100010110111110
31020120012211121210200
430013003110112332
5203112310242342
65550143544330
7640142323500
oct140703242676
936505747720
1013003212222
115572a79890
12262a8bb0a6
1312c2c57b20
148b4d63d70
1551188894c
hex3070d45be

13003212222 has 288 divisors, whose sum is σ = 38846231424. Its totient is φ = 3089923200.

The previous prime is 13003212149. The next prime is 13003212227. The reversal of 13003212222 is 22221230031.

13003212222 is a `hidden beast` number, since 1 + 300 + 321 + 22 + 22 = 666.

13003212222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13003212195 and 13003212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003212227) 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 143 ways as a sum of consecutive naturals, for example, 16522113 + ... + 16522899.

It is an arithmetic number, because the mean of its divisors is an integer number (134882748).

Almost surely, 213003212222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19423115712).

13003212222 is an abundant number, since it is smaller than the sum of its proper divisors (25843019202).

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

13003212222 is a wasteful number, since it uses less digits than its factorization.

13003212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 954 counting only the distinct ones).

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

Adding to 13003212222 its reverse (22221230031), we get a palindrome (35224442253).

The spelling of 13003212222 in words is "thirteen billion, three million, two hundred twelve thousand, two hundred twenty-two".