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13221210030 = 2357569110647
BaseRepresentation
bin11000101000000101…
…11010011110101110
31021010102001001120120
430110002322132232
5204034112210110
610023532225410
7645430300560
oct142402723656
937112031516
1013221210030
115675034866
12268b90b266
131329174102
148d5cad330
15525a9a870
hex3140ba7ae

13221210030 has 64 divisors (see below), whose sum is σ = 36327951360. Its totient is φ = 3016652544.

The previous prime is 13221210019. The next prime is 13221210049. The reversal of 13221210030 is 3001212231.

13221210030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×132212100303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 13221209991 and 13221210009.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 64167 + ... + 174813.

It is an arithmetic number, because the mean of its divisors is an integer number (567624240).

Almost surely, 213221210030 is an apocalyptic number.

13221210030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18163975680).

13221210030 is an abundant number, since it is smaller than the sum of its proper divisors (23106741330).

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

13221210030 is a wasteful number, since it uses less digits than its factorization.

13221210030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111233.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13221210030 its reverse (3001212231), we get a palindrome (16222422261).

The spelling of 13221210030 in words is "thirteen billion, two hundred twenty-one million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 569 1138 1707 2845 3414 3983 5690 7966 8535 11949 17070 19915 23898 39830 59745 110647 119490 221294 331941 553235 663882 774529 1106470 1549058 1659705 2323587 3319410 3872645 4647174 7745290 11617935 23235870 62958143 125916286 188874429 314790715 377748858 440707001 629581430 881414002 944372145 1322121003 1888744290 2203535005 2644242006 4407070010 6610605015 13221210030