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10013301221 = 7112927116547
BaseRepresentation
bin10010101001101011…
…01101100111100101
3221211211210101222012
421110311231213211
5131001401114341
64333335444005
7503065441010
oct112465554745
927754711865
1010013301221
11427927a460
121b35526605
13c37696811
146adc26377
153d91390eb
hex254d6d9e5

10013301221 has 32 divisors (see below), whose sum is σ = 12963041280. Its totient is φ = 7505265600.

The previous prime is 10013301161. The next prime is 10013301269. The reversal of 10013301221 is 12210331001.

It is not a de Polignac number, because 10013301221 - 214 = 10013284837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013301196 and 10013301205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013301281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596870 + ... + 613416.

It is an arithmetic number, because the mean of its divisors is an integer number (405095040).

Almost surely, 210013301221 is an apocalyptic number.

10013301221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10013301221 is a deficient number, since it is larger than the sum of its proper divisors (2949740059).

10013301221 is a wasteful number, since it uses less digits than its factorization.

10013301221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16865.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10013301221 its reverse (12210331001), we get a palindrome (22223632222).

The spelling of 10013301221 in words is "ten billion, thirteen million, three hundred one thousand, two hundred twenty-one".

Divisors: 1 7 11 29 77 203 271 319 1897 2233 2981 7859 16547 20867 55013 86449 115829 182017 479863 605143 1274119 3359041 4484237 5278493 31389659 36949451 49326607 130042873 345286249 910300111 1430471603 10013301221