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13223300031 = 33539240601
BaseRepresentation
bin11000101000010101…
…11000101110111111
31021010112222020112000
430110022320232333
5204040131100111
610024045113343
7645454124064
oct142412705677
937115866460
1013223300031
115676232037
122690558853
1313297264b6
148d6294c6b
15525d5ec56
hex3142b8bbf

13223300031 has 16 divisors (see below), whose sum is σ = 19959700320. Its totient is φ = 8649201600.

The previous prime is 13223299997. The next prime is 13223300053. The reversal of 13223300031 is 13000332231.

It is not a de Polignac number, because 13223300031 - 210 = 13223299007 is a prime.

It is a super-2 number, since 2×132233000312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13223299977 and 13223300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223310031) 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 15 ways as a sum of consecutive naturals, for example, 4618870 + ... + 4621731.

It is an arithmetic number, because the mean of its divisors is an integer number (1247481270).

Almost surely, 213223300031 is an apocalyptic number.

13223300031 is a deficient number, since it is larger than the sum of its proper divisors (6736400289).

13223300031 is an equidigital number, since it uses as much as digits as its factorization.

13223300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240663 (or 9240657 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13223300031 its reverse (13000332231), we get a palindrome (26223632262).

The spelling of 13223300031 in words is "thirteen billion, two hundred twenty-three million, three hundred thousand, thirty-one".

Divisors: 1 3 9 27 53 159 477 1431 9240601 27721803 83165409 249496227 489751853 1469255559 4407766677 13223300031