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2221212110121 = 323758229114553
BaseRepresentation
bin100000010100101010100…
…011110000110100101001
321212100100002110101012200
4200110222203300310221
5242343020300010441
64420224420130413
7316322464262514
oct40245243606451
97770302411180
102221212110121
11787013369304
122ba59b536a09
131315c84027a4
1479715c19d7b
153cba37eb7b6
hex2052a8f0d29

2221212110121 has 24 divisors (see below), whose sum is σ = 3295216833480. Its totient is φ = 1440748912896.

The previous prime is 2221212110119. The next prime is 2221212110129. The reversal of 2221212110121 is 1210112121222.

2221212110121 is a `hidden beast` number, since 2 + 221 + 212 + 110 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 396994505625 + 1824217604496 = 630075^2 + 1350636^2 .

It is not a de Polignac number, because 2221212110121 - 21 = 2221212110119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221212110094 and 2221212110103.

It is not an unprimeable number, because it can be changed into a prime (2221212110129) 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 23 ways as a sum of consecutive naturals, for example, 19332981 + ... + 19447533.

It is an arithmetic number, because the mean of its divisors is an integer number (137300701395).

Almost surely, 22221212110121 is an apocalyptic number.

It is an amenable number.

2221212110121 is a deficient number, since it is larger than the sum of its proper divisors (1074004723359).

2221212110121 is a wasteful number, since it uses less digits than its factorization.

2221212110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172825 (or 172822 counting only the distinct ones).

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

Adding to 2221212110121 its reverse (1210112121222), we get a palindrome (3431324231343).

The spelling of 2221212110121 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 333 58229 114553 174687 343659 524061 1030977 2154473 4238461 6463419 12715383 19390257 38146149 6670306637 20010919911 60032759733 246801345569 740404036707 2221212110121