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13221131 = 7211191291
BaseRepresentation
bin110010011011…
…110100001011
3220212200222112
4302123310023
511341034011
61151212535
7220243400
oct62336413
926780875
1013221131
117510260
12451714b
13297ba71
141a822a7
15126258b
hexc9bd0b

13221131 has 24 divisors (see below), whose sum is σ = 17674560. Its totient is φ = 9752400.

The previous prime is 13221101. The next prime is 13221137. The reversal of 13221131 is 13112231.

It is a de Polignac number, because none of the positive numbers 2k-13221131 is a prime.

It is a super-2 number, since 2×132211312 = 349596609838322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13221137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9596 + ... + 10886.

It is an arithmetic number, because the mean of its divisors is an integer number (736440).

Almost surely, 213221131 is an apocalyptic number.

13221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13221131 is a deficient number, since it is larger than the sum of its proper divisors (4453429).

13221131 is a wasteful number, since it uses less digits than its factorization.

13221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1328 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 13221131 is about 3636.0873201836. The cubic root of 13221131 is about 236.4591928544.

Adding to 13221131 its reverse (13112231), we get a palindrome (26333362).

Subtracting from 13221131 its reverse (13112231), we obtain a square (108900 = 3302).

The spelling of 13221131 in words is "thirteen million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 19 49 77 133 209 539 931 1291 1463 9037 10241 14201 24529 63259 99407 171703 269819 695849 1201921 1888733 13221131