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2022121012221 = 36101223712277
BaseRepresentation
bin11101011011001111110…
…011011111101111111101
321011022110002102201000000
4131123033303133233331
5231112300434342341
64144541035024513
7266044021002042
oct35331763375775
97138402381000
102022121012221
1170a63865a772
12287a9829b139
131188ba4a5c0b
146dc2a7311c9
15379000618b6
hex1d6cfcdfbfd

2022121012221 has 56 divisors (see below), whose sum is σ = 3063430591704. Its totient is φ = 1334028009600.

The previous prime is 2022121012199. The next prime is 2022121012237. The reversal of 2022121012221 is 1222101212202.

It is a happy number.

2022121012221 is a `hidden beast` number, since 2 + 0 + 221 + 210 + 12 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 641528912025 + 1380592100196 = 800955^2 + 1174986^2 .

It is not a de Polignac number, because 2022121012221 - 29 = 2022121011709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2022121012194 and 2022121012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022121012721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 164701935 + ... + 164714211.

It is an arithmetic number, because the mean of its divisors is an integer number (54704117709).

Almost surely, 22022121012221 is an apocalyptic number.

It is an amenable number.

2022121012221 is a deficient number, since it is larger than the sum of its proper divisors (1041309579483).

2022121012221 is a wasteful number, since it uses less digits than its factorization.

2022121012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14633 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2022121012221 its reverse (1222101212202), we get a palindrome (3244222224423).

The spelling of 2022121012221 in words is "two trillion, twenty-two billion, one hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 101 243 303 729 909 2237 2727 6711 8181 12277 20133 24543 36831 60399 73629 110493 181197 225937 331479 543591 677811 994437 1239977 1630773 2033433 2983311 3719931 6100299 8949933 11159793 18300897 27463649 33479379 54902691 82390947 100438137 164708073 247172841 301314411 741518523 903943233 2224555569 2773828549 6673666707 8321485647 20021000121 24964456941 74893370823 224680112469 674040337407 2022121012221