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11004223130131 = 7112431995712659
BaseRepresentation
bin1010000000100001111011…
…0011111000101000010011
31102221222211020012220202111
42200020132303320220103
52420243122110131011
635223134215530151
72214012623201140
oct240103663705023
942858736186674
1011004223130131
113562957094100
121298838089957
1361a90333ab1a
142a08703ad3c7
151413a2307121
hexa021ecf8a13

11004223130131 has 96 divisors (see below), whose sum is σ = 14246296064000. Its totient is φ = 8315497713600.

The previous prime is 11004223130119. The next prime is 11004223130149. The reversal of 11004223130131 is 13103132240011.

It is not a de Polignac number, because 11004223130131 - 223 = 11004214741523 is a prime.

It is a super-2 number, since 2×110042231301312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11004223136131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4138480480 + ... + 4138483138.

Almost surely, 211004223130131 is an apocalyptic number.

11004223130131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11004223130131 is a deficient number, since it is larger than the sum of its proper divisors (3242072933869).

11004223130131 is a wasteful number, since it uses less digits than its factorization.

11004223130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11004223130131 its reverse (13103132240011), we get a palindrome (24107355370142).

The spelling of 11004223130131 in words is "eleven trillion, four billion, two hundred twenty-three million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 7 11 43 77 121 199 301 473 571 847 1393 2189 2659 3311 3997 5203 6281 8557 15323 18613 24079 24553 29249 36421 43967 59899 69091 94127 113629 114337 168553 171871 204743 270083 321739 483637 529141 658889 795403 800359 1035397 1249919 1257707 1518289 1890581 2252173 2970913 3703987 4886047 5820551 7247779 8749433 8803949 10628023 13749109 13834777 16701179 20796391 22753063 34202329 40743857 53746517 64026061 65286427 96243763 96843439 116908253 159271441 183712969 250283693 302139511 376225619 448182427 457004989 591211687 718150697 1285990783 1751985851 2114976577 2753120623 3323534621 4138481809 5027054879 7899657667 12991998973 19271844361 23264742347 36558880831 55297603669 90943992811 142911988703 255912165817 1000383920921 1572031875733 11004223130131