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2003131032111 = 3211171319085607
BaseRepresentation
bin11101001001100011111…
…010011110001000101111
321002111102122102202120100
4131021203322132020233
5230304403021011421
64132120425522143
7264502311560406
oct35114372361057
97074378382510
102003131032111
11702583278630
12284278643353
13116b821360b1
146cd4864463d
153718cd05c26
hex1d263e9e22f

2003131032111 has 48 divisors (see below), whose sum is σ = 3367635118848. Its totient is φ = 1133883628800.

The previous prime is 2003131032107. The next prime is 2003131032167. The reversal of 2003131032111 is 1112301313002.

2003131032111 is a `hidden beast` number, since 2 + 0 + 0 + 31 + 310 + 321 + 1 + 1 = 666.

It is not a de Polignac number, because 2003131032111 - 22 = 2003131032107 is a prime.

It is a super-2 number, since 2×20031310321112 (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 (2003131032181) 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 47 ways as a sum of consecutive naturals, for example, 4322331 + ... + 4763276.

It is an arithmetic number, because the mean of its divisors is an integer number (70159064976).

Almost surely, 22003131032111 is an apocalyptic number.

2003131032111 is a deficient number, since it is larger than the sum of its proper divisors (1364504086737).

2003131032111 is a wasteful number, since it uses less digits than its factorization.

2003131032111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085772 (or 9085769 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2003131032111 its reverse (1112301313002), we get a palindrome (3115432345113).

The spelling of 2003131032111 in words is "two trillion, three billion, one hundred thirty-one million, thirty-two thousand, one hundred eleven".

Divisors: 1 3 9 11 17 33 51 99 131 153 187 393 561 1179 1441 1683 2227 4323 6681 12969 20043 24497 73491 220473 9085607 27256821 81770463 99941677 154455319 299825031 463365957 899475093 1190214517 1390097871 1699008509 3570643551 5097025527 10711930653 13092359687 15291076581 20233646789 39277079061 60700940367 117831237183 182102821101 222570114679 667710344037 2003131032111