Search a number
-
+
1312431421653 = 321159336166853
BaseRepresentation
bin10011000110010011000…
…000100011100011010101
311122110121121021002211100
4103012103000203203111
5133000324420443103
62442531144100313
7163551163006242
oct23062300434325
94573547232740
101312431421653
11466665360290
12192436764699
13969b9752641
14477445ca5c9
15242154b45a3
hex131930238d5

1312431421653 has 48 divisors (see below), whose sum is σ = 2103783065280. Its totient is φ = 781687065600.

The previous prime is 1312431421649. The next prime is 1312431421733. The reversal of 1312431421653 is 3561241342131.

1312431421653 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 431 + 4 + 216 + 5 + 3 = 666.

It is not a de Polignac number, because 1312431421653 - 22 = 1312431421649 is a prime.

It is a super-2 number, since 2×13124314216532 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312431421603) 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 47 ways as a sum of consecutive naturals, for example, 19598175 + ... + 19665027.

It is an arithmetic number, because the mean of its divisors is an integer number (43828813860).

Almost surely, 21312431421653 is an apocalyptic number.

It is an amenable number.

1312431421653 is a deficient number, since it is larger than the sum of its proper divisors (791351643627).

1312431421653 is a wasteful number, since it uses less digits than its factorization.

1312431421653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70290 (or 70287 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 1312431421653 its reverse (3561241342131), we get a palindrome (4873672763784).

The spelling of 1312431421653 in words is "one trillion, three hundred twelve billion, four hundred thirty-one million, four hundred twenty-one thousand, six hundred fifty-three".

Divisors: 1 3 9 11 33 59 99 177 531 649 1947 3361 5841 10083 30249 36971 66853 110913 198299 200559 332739 594897 601677 735383 1784691 2181289 2206149 3944327 6543867 6618447 11832981 19631601 35498943 43387597 130162791 224692933 390488373 674078799 2022236397 2471622263 7414866789 13256883047 22244600367 39770649141 119311947423 145825713517 437477140551 1312431421653