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10113223221 = 33419135703
BaseRepresentation
bin10010110101100101…
…11000101000110101
3222002210210222012000
421122302320220311
5131202441120341
64351305245513
7505420656543
oct113262705065
928083728160
1010113223221
11431a718322
121b62a93899
13c522b096a
146bd1d6d93
153e2cc58b6
hex25acb8a35

10113223221 has 16 divisors (see below), whose sum is σ = 15347982720. Its totient is φ = 6577705440.

The previous prime is 10113223189. The next prime is 10113223231. The reversal of 10113223221 is 12232231101.

10113223221 is a `hidden beast` number, since 10 + 11 + 322 + 322 + 1 = 666.

10113223221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10113223221 - 25 = 10113223189 is a prime.

It is a super-3 number, since 3×101132232213 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10113223194 and 10113223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113223231) 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 15 ways as a sum of consecutive naturals, for example, 4566745 + ... + 4568958.

It is an arithmetic number, because the mean of its divisors is an integer number (959248920).

Almost surely, 210113223221 is an apocalyptic number.

It is an amenable number.

10113223221 is a deficient number, since it is larger than the sum of its proper divisors (5234759499).

10113223221 is an equidigital number, since it uses as much as digits as its factorization.

10113223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9135753 (or 9135747 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10113223221 its reverse (12232231101), we get a palindrome (22345454322).

The spelling of 10113223221 in words is "ten billion, one hundred thirteen million, two hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 27 41 123 369 1107 9135703 27407109 82221327 246663981 374563823 1123691469 3371074407 10113223221