Search a number
-
+
212202111112002 = 232111071727833899
BaseRepresentation
bin110000001111111100100111…
…011101000001001101000010
31000211100022201222102110002200
4300033330213131001031002
5210303204410421041002
62031152145402054030
762461045063411524
oct6017744735011502
91024308658373080
10212202111112002
1161683456697010
121b9722357aa316
13915375b47951b
143a588cbc23a14
15197ece5943b1c
hexc0ff27741342

212202111112002 has 24 divisors (see below), whose sum is σ = 501568626265200. Its totient is φ = 64303670033880.

The previous prime is 212202111112001. The next prime is 212202111112021. The reversal of 212202111112002 is 200211111202212.

212202111112002 is a `hidden beast` number, since 21 + 220 + 211 + 1 + 11 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212202111112001) 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 11 ways as a sum of consecutive naturals, for example, 535863916752 + ... + 535863917147.

It is an arithmetic number, because the mean of its divisors is an integer number (20898692761050).

Almost surely, 2212202111112002 is an apocalyptic number.

212202111112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212202111112002 is an abundant number, since it is smaller than the sum of its proper divisors (289366515153198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212202111112002 is a wasteful number, since it uses less digits than its factorization.

212202111112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071727833918 (or 1071727833915 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212202111112002 its reverse (200211111202212), we get a palindrome (412413222314214).

The spelling of 212202111112002 in words is "two hundred twelve trillion, two hundred two billion, one hundred eleven million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1071727833899 2143455667798 3215183501697 6430367003394 9645550505091 11789006172889 19291101010182 23578012345778 35367018518667 70734037037334 106101055556001 212202111112002