Search a number
-
+
212011120112103 = 321331562310395443
BaseRepresentation
bin110000001101001010101111…
…100000001011000111100111
31000210200001202111011101102200
4300031022233200023013213
5210242042233222041403
62030524321454105543
762441204124612114
oct6015125740130747
91023601674141380
10212011120112103
116160a458203a44
121b9412131ab2b3
13913b74173c050
143a4d57041b90b
151979d68377ca3
hexc0d2af80b1e7

212011120112103 has 48 divisors (see below), whose sum is σ = 340494202374144. Its totient is φ = 126237257835840.

The previous prime is 212011120112093. The next prime is 212011120112111. The reversal of 212011120112103 is 301211021110212.

It is a happy number.

It is not a de Polignac number, because 212011120112103 - 234 = 211993940242919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011120112203) 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, 15196900 + ... + 25592342.

It is an arithmetic number, because the mean of its divisors is an integer number (7093629216128).

Almost surely, 2212011120112103 is an apocalyptic number.

212011120112103 is a deficient number, since it is larger than the sum of its proper divisors (128483082262041).

212011120112103 is a wasteful number, since it uses less digits than its factorization.

212011120112103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10401116 (or 10401113 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 212011120112103 its reverse (301211021110212), we get a palindrome (513222141222315).

The spelling of 212011120112103 in words is "two hundred twelve trillion, eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred three".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 5623 16869 50607 73099 174313 219297 522939 657891 1568817 2266069 6798207 10395443 20394621 31186329 93558987 135140759 322258733 405422277 966776199 1216266831 2900328597 4189363529 12568090587 37704271761 58453575989 175360727967 526082183901 759896487857 1812060855659 2279689463571 5436182566977 6839068390713 16308547700931 23556791123567 70670373370701 212011120112103