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13213113417 = 34790725693
BaseRepresentation
bin11000100111001000…
…00001110001001001
31021002211210201010000
430103210001301021
5204030024112132
610023042513213
7645301416360
oct142344016111
937084721100
1013213113417
115670504749
122689065809
13132759aa0a
148d4ba27d7
15524eeb87c
hex313901c49

13213113417 has 40 divisors (see below), whose sum is σ = 22583587136. Its totient is φ = 7541732448.

The previous prime is 13213113413. The next prime is 13213113427. The reversal of 13213113417 is 71431131231.

13213113417 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 311 + 341 + 7 = 666.

It is not a de Polignac number, because 13213113417 - 22 = 13213113413 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13213113413) 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 39 ways as a sum of consecutive naturals, for example, 501423 + ... + 527115.

Almost surely, 213213113417 is an apocalyptic number.

It is an amenable number.

13213113417 is a deficient number, since it is larger than the sum of its proper divisors (9370473719).

13213113417 is an equidigital number, since it uses as much as digits as its factorization.

13213113417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26619 (or 26610 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

Adding to 13213113417 its reverse (71431131231), we get a palindrome (84644244648).

The spelling of 13213113417 in words is "thirteen billion, two hundred thirteen million, one hundred thirteen thousand, four hundred seventeen".

Divisors: 1 3 7 9 21 27 63 81 189 567 907 2721 6349 8163 19047 24489 25693 57141 73467 77079 171423 179851 231237 514269 539553 693711 1618659 2081133 4855977 14567931 23303551 69910653 163124857 209731959 489374571 629195877 1468123713 1887587631 4404371139 13213113417