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13221322131 = 345714536637
BaseRepresentation
bin11000101000000110…
…10101110110010011
31021010102020202100110
430110003111312103
5204034124302011
610023534452403
7645431245443
oct142403256623
937112222313
1013221322131
115675101006
12268b964103
1313291b3144
148d5cdc123
15525abdba6
hex3140d5d93

13221322131 has 16 divisors (see below), whose sum is σ = 17681826464. Its totient is φ = 8787550464.

The previous prime is 13221322117. The next prime is 13221322133. The reversal of 13221322131 is 13122312231.

It is not a de Polignac number, because 13221322131 - 26 = 13221322067 is a prime.

It is a super-3 number, since 3×132213221313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13221322098 and 13221322107.

It is not an unprimeable number, because it can be changed into a prime (13221322133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1988745 + ... + 1995381.

It is an arithmetic number, because the mean of its divisors is an integer number (1105114154).

Almost surely, 213221322131 is an apocalyptic number.

13221322131 is a deficient number, since it is larger than the sum of its proper divisors (4460504333).

13221322131 is a wasteful number, since it uses less digits than its factorization.

13221322131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550.

The product of its digits is 432, while the sum is 21.

Adding to 13221322131 its reverse (13122312231), we get a palindrome (26343634362).

The spelling of 13221322131 in words is "thirteen billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 457 1371 1453 4359 6637 19911 664021 1992063 3033109 9099327 9643561 28930683 4407107377 13221322131