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212122220211001 = 3153233554105779
BaseRepresentation
bin110000001110110010001101…
…100101011010101100111001
31000211001200112020121011210101
4300032302031211122230321
5210300402301333223001
62031051334102515401
762452216235100022
oct6016621545325471
91024050466534711
10212122220211001
116165258a3266a1
121b95a85a435b61
139149068b22939
143a54aad767c49
15197cbbbd25a01
hexc0ec8d95ab39

212122220211001 has 16 divisors (see below), whose sum is σ = 224053780354560. Its totient is φ = 200541963173760.

The previous prime is 212122220210969. The next prime is 212122220211037. The reversal of 212122220211001 is 100112022221212.

212122220211001 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 212122220211001 - 25 = 212122220210969 is a prime.

It is a super-2 number, since 2×2121222202110012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212122220211001.

It is not an unprimeable number, because it can be changed into a prime (212122220211301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276670071 + ... + 277435708.

It is an arithmetic number, because the mean of its divisors is an integer number (14003361272160).

Almost surely, 2212122220211001 is an apocalyptic number.

It is an amenable number.

212122220211001 is a deficient number, since it is larger than the sum of its proper divisors (11931560143559).

212122220211001 is a wasteful number, since it uses less digits than its factorization.

212122220211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554106096.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212122220211001 its reverse (100112022221212), we get a palindrome (312234242432213).

The spelling of 212122220211001 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twenty million, two hundred eleven thousand, one".

Divisors: 1 31 53 233 1643 7223 12349 382819 554105779 17177279149 29367606287 129106646507 910395794897 4002306041717 6842652264871 212122220211001