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11311442123121 = 327475997667507
BaseRepresentation
bin1010010010011010011001…
…1111010101100101110001
31111001100210211221210012100
42210212212133111211301
52440311313140414441
640020223233051013
72245140036433350
oct244464637254561
944040724853170
1011311442123121
11367117920a708
1213282970b6a69
136408839498ca
142b1696195997
1514938363bcb6
hexa49a67d5971

11311442123121 has 96 divisors (see below), whose sum is σ = 19593335623680. Its totient is φ = 6154811163648.

The previous prime is 11311442123083. The next prime is 11311442123227. The reversal of 11311442123121 is 12132124411311.

11311442123121 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 4 + 421 + 231 + 2 + 1 = 666.

It is not a de Polignac number, because 11311442123121 - 29 = 11311442122609 is a prime.

It is a super-2 number, since 2×113114421231212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11311442121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16612050 + ... + 17279556.

It is an arithmetic number, because the mean of its divisors is an integer number (204097246080).

Almost surely, 211311442123121 is an apocalyptic number.

It is an amenable number.

11311442123121 is a deficient number, since it is larger than the sum of its proper divisors (8281893500559).

11311442123121 is a wasteful number, since it uses less digits than its factorization.

11311442123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667723 (or 667720 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 11311442123121 its reverse (12132124411311), we get a palindrome (23443566534432).

The spelling of 11311442123121 in words is "eleven trillion, three hundred eleven billion, four hundred forty-two million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 47 59 63 97 141 177 291 329 413 423 531 679 873 987 1239 2037 2773 2961 3717 4559 5723 6111 8319 13677 17169 19411 24957 31913 40061 41031 51507 58233 95739 120183 174699 268981 287217 360549 667507 806943 1882867 2002521 2420829 4672549 5648601 6007563 14017647 16945803 31372829 39382913 42052941 64748179 94118487 118148739 194244537 219609803 275680391 282355461 354446217 453237253 582733611 658829409 827041173 1359711759 1850996911 1976488227 2481123519 3043164413 3820142561 4079135277 5552990733 9129493239 11460427683 12956978377 16658972199 21302150891 26740997927 27388479717 34381283049 38870935131 63906452673 80222993781 116612805393 179546700367 191719358019 240668981343 538640101101 1256826902569 1615920303303 3770480707707 11311442123121