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212122321101 = 33101268728949
BaseRepresentation
bin1100010110001101111…
…0011100000011001101
3202021112011120101212000
43011203132130003031
511433411303233401
6241240405302513
721216405660015
oct3054336340315
9667464511760
10212122321101
1181a6257a499
123513b404a39
1317006911242
14a3a4060c45
1557b7808186
hex316379c0cd

212122321101 has 32 divisors (see below), whose sum is σ = 317495808000. Its totient is φ = 139957790400.

The previous prime is 212122321097. The next prime is 212122321121. The reversal of 212122321101 is 101123221212.

212122321101 is a `hidden beast` number, since 212 + 122 + 321 + 10 + 1 = 666.

212122321101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212122321101 - 22 = 212122321097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122321121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7312975 + ... + 7341923.

It is an arithmetic number, because the mean of its divisors is an integer number (9921744000).

Almost surely, 2212122321101 is an apocalyptic number.

It is an amenable number.

212122321101 is a deficient number, since it is larger than the sum of its proper divisors (105373486899).

212122321101 is a wasteful number, since it uses less digits than its factorization.

212122321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31746 (or 31740 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212122321101 its reverse (101123221212), we get a palindrome (313245542313).

The spelling of 212122321101 in words is "two hundred twelve billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 27 101 303 909 2687 2727 8061 24183 28949 72549 86847 260541 271387 781623 814161 2442483 2923849 7327449 8771547 26314641 77785963 78943923 233357889 700073667 2100221001 7856382263 23569146789 70707440367 212122321101