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13223031131 = 232577692909
BaseRepresentation
bin11000101000010011…
…10111000101011011
31021010112110120122202
430110021313011123
5204040043444011
610024035240415
7645451624112
oct142411670533
937115416582
1013223031131
115676069002
12269044910b
131329660c9b
148d6224c79
15525d0a23b
hex31427715b

13223031131 has 16 divisors (see below), whose sum is σ = 13874414400. Its totient is φ = 12578193408.

The previous prime is 13223031079. The next prime is 13223031161. The reversal of 13223031131 is 13113032231.

13223031131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13223031131 - 226 = 13155922267 is a prime.

It is a super-2 number, since 2×132230311312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13223031161) 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, 4544105 + ... + 4547013.

It is an arithmetic number, because the mean of its divisors is an integer number (867150900).

Almost surely, 213223031131 is an apocalyptic number.

13223031131 is a deficient number, since it is larger than the sum of its proper divisors (651383269).

13223031131 is a wasteful number, since it uses less digits than its factorization.

13223031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13223031131 its reverse (13113032231), we get a palindrome (26336063362).

It can be divided in two parts, 132230 and 31131, that added together give a palindrome (163361).

The spelling of 13223031131 in words is "thirteen billion, two hundred twenty-three million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 23 257 769 2909 5911 17687 66907 197633 747613 2237021 4545559 17195099 51451483 574914397 13223031131