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13223443131 = 33539240701
BaseRepresentation
bin11000101000010110…
…11011101010111011
31021010120020111211000
430110023123222323
5204040200140011
610024052140043
7645455261223
oct142413335273
937116214730
1013223443131
11567631a5a8
122690607623
131329776682
148d62d1083
15525d8c356
hex3142dbabb

13223443131 has 16 divisors (see below), whose sum is σ = 19959916320. Its totient is φ = 8649295200.

The previous prime is 13223443069. The next prime is 13223443193. The reversal of 13223443131 is 13134432231.

It is a happy number.

13223443131 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 344 + 313 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13223443069) and next prime (13223443193).

It is not a de Polignac number, because 13223443131 - 215 = 13223410363 is a prime.

It is a super-2 number, since 2×132234431312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13223443095 and 13223443104.

It is not an unprimeable number, because it can be changed into a prime (13223448131) 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, 4618920 + ... + 4621781.

It is an arithmetic number, because the mean of its divisors is an integer number (1247494770).

Almost surely, 213223443131 is an apocalyptic number.

13223443131 is a deficient number, since it is larger than the sum of its proper divisors (6736473189).

13223443131 is an equidigital number, since it uses as much as digits as its factorization.

13223443131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240763 (or 9240757 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13223443131 its reverse (13134432231), we get a palindrome (26357875362).

The spelling of 13223443131 in words is "thirteen billion, two hundred twenty-three million, four hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 53 159 477 1431 9240701 27722103 83166309 249498927 489757153 1469271459 4407814377 13223443131