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211323112313103 = 32729311448242717
BaseRepresentation
bin110000000011001001111111…
…000010101101000100001111
31000201020021220001002220211100
4300003021333002231010033
5210144304213223004403
62025240255251154143
762340406503040530
oct6003117702550417
91021207801086740
10211323112313103
11613746a079a46a
121b84ba028a5953
1390bb8b7935b3b
143a28143aa4687
151966eec0002a3
hexc0327f0ad10f

211323112313103 has 24 divisors (see below), whose sum is σ = 350041469345568. Its totient is φ = 120343927430592.

The previous prime is 211323112313083. The next prime is 211323112313119. The reversal of 211323112313103 is 301313211323112.

211323112313103 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 311 + 2 + 31 + 310 + 3 = 666.

It is not a de Polignac number, because 211323112313103 - 214 = 211323112296719 is a prime.

It is a super-2 number, since 2×2113231123131032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211323112313153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5724102900 + ... + 5724139817.

It is an arithmetic number, because the mean of its divisors is an integer number (14585061222732).

Almost surely, 2211323112313103 is an apocalyptic number.

211323112313103 is a deficient number, since it is larger than the sum of its proper divisors (138718357032465).

211323112313103 is a wasteful number, since it uses less digits than its factorization.

211323112313103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11448243023 (or 11448243020 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 211323112313103 its reverse (301313211323112), we get a palindrome (512636323636215).

The spelling of 211323112313103 in words is "two hundred eleven trillion, three hundred twenty-three billion, one hundred twelve million, three hundred thirteen thousand, one hundred three".

Divisors: 1 3 7 9 21 63 293 879 2051 2637 6153 18459 11448242717 34344728151 80137699019 103034184453 240413097057 721239291171 3354335116081 10063005348243 23480345812567 30189016044729 70441037437701 211323112313103