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13322132231 = 318916093001
BaseRepresentation
bin11000110100000111…
…11001101100000111
31021101102221102210212
430122003321230013
5204240431212411
610041535310035
7651064153442
oct143203715407
937342842725
1013322132231
115716aa6141
1226b967b31b
13134404b5a5
14905460659
1552e88368b
hex31a0f9b07

13322132231 has 16 divisors (see below), whose sum is σ = 13919673600. Its totient is φ = 12735360000.

The previous prime is 13322132183. The next prime is 13322132269. The reversal of 13322132231 is 13223122331.

13322132231 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 13322132231 - 214 = 13322115847 is a prime.

It is a super-2 number, since 2×133221322312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13322132197 and 13322132206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322132731) 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, 4437731 + ... + 4440731.

It is an arithmetic number, because the mean of its divisors is an integer number (869979600).

Almost surely, 213322132231 is an apocalyptic number.

13322132231 is a deficient number, since it is larger than the sum of its proper divisors (597541369).

13322132231 is a wasteful number, since it uses less digits than its factorization.

13322132231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730.

The product of its digits is 1296, while the sum is 23.

Adding to 13322132231 its reverse (13223122331), we get a palindrome (26545254562).

The spelling of 13322132231 in words is "thirteen billion, three hundred twenty-two million, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 31 89 1609 2759 3001 49879 93031 143201 267089 4439231 4828609 8279759 149686879 429746201 13322132231