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212202111202101 = 32101746093128921
BaseRepresentation
bin110000001111111100100111…
…011101010111001100110101
31000211100022201222121000200200
4300033330213131113030311
5210303204410431431401
62031152145404031113
762461045064235306
oct6017744735271465
91024308658530620
10212202111202101
1161683456748779
121b972235832499
13915375b4ab537
143a588cbc487ad
15197ece5960686
hexc0ff27757335

212202111202101 has 24 divisors (see below), whose sum is σ = 309553202176920. Its totient is φ = 140065478016000.

The previous prime is 212202111202031. The next prime is 212202111202157. The reversal of 212202111202101 is 101202111202212.

212202111202101 is a `hidden beast` number, since 2 + 1 + 220 + 211 + 1 + 20 + 210 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155358126347076 + 56843984855025 = 12464274^2 + 7539495^2 .

It is not a de Polignac number, because 212202111202101 - 27 = 212202111201973 is a prime.

It is a super-2 number, since 2×2122021112021012 (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 (212202111202171) 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, 66255121 + ... + 69384041.

It is an arithmetic number, because the mean of its divisors is an integer number (12898050090705).

Almost surely, 2212202111202101 is an apocalyptic number.

It is an amenable number.

212202111202101 is a deficient number, since it is larger than the sum of its proper divisors (97351090974819).

212202111202101 is a wasteful number, since it uses less digits than its factorization.

212202111202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203637 (or 3203634 counting only the distinct ones).

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

Adding to 212202111202101 its reverse (101202111202212), we get a palindrome (313404222404313).

It can be divided in two parts, 212202111 and 202101, that added together give a palindrome (212404212).

The spelling of 212202111202101 in words is "two hundred twelve trillion, two hundred two billion, one hundred eleven million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 101 303 909 74609 223827 671481 3128921 7535509 9386763 22606527 28160289 67819581 316021021 948063063 2844189189 233445666889 700337000667 2101011002001 23578012355789 70734037067367 212202111202101