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13314422313141 = 3591171239926777
BaseRepresentation
bin1100000111000000000101…
…1010011001000010110101
31202010211211222112222022120
43001300001122121002311
53221120414103010031
644152321113550153
72542635540226155
oct301600132310265
952124758488276
1013314422313141
114273684320354
1215b0511115359
1375771074a711
143405c8772765
15181513098a96
hexc1c016990b5

13314422313141 has 32 divisors (see below), whose sum is σ = 18077078016000. Its totient is φ = 8714424850560.

The previous prime is 13314422313089. The next prime is 13314422313169. The reversal of 13314422313141 is 14131322441331.

It is a happy number.

It is not a de Polignac number, because 13314422313141 - 211 = 13314422311093 is a prime.

It is a super-2 number, since 2×133144223131412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314422413141) 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 31 ways as a sum of consecutive naturals, for example, 497220145 + ... + 497246921.

It is an arithmetic number, because the mean of its divisors is an integer number (564908688000).

Almost surely, 213314422313141 is an apocalyptic number.

It is an amenable number.

13314422313141 is a deficient number, since it is larger than the sum of its proper divisors (4762655702859).

13314422313141 is a wasteful number, since it uses less digits than its factorization.

13314422313141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30409.

The product of its digits is 20736, while the sum is 33.

Adding to 13314422313141 its reverse (14131322441331), we get a palindrome (27445744754472).

The spelling of 13314422313141 in words is "thirteen trillion, three hundred fourteen billion, four hundred twenty-two million, three hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 59 177 1171 2399 3513 7197 26777 69089 80331 141541 207267 424623 1579843 2809229 4739529 8427687 31355867 64238023 94067601 165744511 192714069 497233533 1849996153 3790043357 5549988459 11370130071 75222724933 225668174799 4438140771047 13314422313141