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13314213 = 351117293
BaseRepresentation
bin110010110010…
…100010100101
3221001102200000
4302302202211
511402023323
61153211513
7221111643
oct62624245
927042600
1013314213
117574190
124560b99
1329b2243
141aa8193
15127ee43
hexcb28a5

13314213 has 48 divisors (see below), whose sum is σ = 23115456. Its totient is φ = 7568640.

The previous prime is 13314181. The next prime is 13314239. The reversal of 13314213 is 31241331.

It is not a de Polignac number, because 13314213 - 25 = 13314181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45295 + ... + 45587.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 213314213 is an apocalyptic number.

It is an amenable number.

13314213 is a deficient number, since it is larger than the sum of its proper divisors (9801243).

13314213 is a wasteful number, since it uses less digits than its factorization.

13314213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13314213 is about 3648.8646179325. The cubic root of 13314213 is about 237.0128177653.

Adding to 13314213 its reverse (31241331), we get a palindrome (44555544).

The spelling of 13314213 in words is "thirteen million, three hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 243 293 297 459 561 879 891 1377 1683 2637 2673 3223 4131 4981 5049 7911 9669 14943 15147 23733 29007 44829 45441 54791 71199 87021 134487 164373 261063 403461 493119 783189 1210383 1479357 4438071 13314213