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2212102020321 = 322176611129229
BaseRepresentation
bin100000001100001011100…
…011100001110011100001
321211110211012012212101100
4200030023203201303201
5242220341104122241
64412120423225013
7315550643634114
oct40141343416341
97743735185340
102212102020321
11783168a14a76
122b88785a8169
131307a5bb82cb
14790cdd4857b
153c81db259b6
hex2030b8e1ce1

2212102020321 has 12 divisors (see below), whose sum is σ = 3195275983380. Its totient is φ = 1474726598880.

The previous prime is 2212102020239. The next prime is 2212102020383. The reversal of 2212102020321 is 1230202012122.

2212102020321 is a `hidden beast` number, since 22 + 121 + 0 + 202 + 0 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1186411100625 + 1025690919696 = 1089225^2 + 1012764^2 .

It is not a de Polignac number, because 2212102020321 - 218 = 2212101758177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2212102020294 and 2212102020303.

It is not an unprimeable number, because it can be changed into a prime (2212102060321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1394335 + ... + 2523563.

It is an arithmetic number, because the mean of its divisors is an integer number (266272998615).

Almost surely, 22212102020321 is an apocalyptic number.

It is an amenable number.

2212102020321 is a deficient number, since it is larger than the sum of its proper divisors (983173963059).

2212102020321 is a wasteful number, since it uses less digits than its factorization.

2212102020321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346896 (or 1346893 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2212102020321 its reverse (1230202012122), we get a palindrome (3442304032443).

The spelling of 2212102020321 in words is "two trillion, two hundred twelve billion, one hundred two million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 217661 652983 1129229 1958949 3387687 10163061 245789113369 737367340107 2212102020321