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21112222112201 = 1121019901174481
BaseRepresentation
bin1001100110011100100100…
…11111111101100111001001
32202202022100001120220101202
410303032102133331213021
510231400312330042301
6112522453153553545
74306210355004413
oct463162237754711
982668301526352
1021112222112201
1167aa708a95900
12244b8345758b5
13ba1b4925075c
1452dba0a3d9b3
1526929d82d66b
hex1333927fd9c9

21112222112201 has 24 divisors (see below), whose sum is σ = 23438259884424. Its totient is φ = 19000872000000.

The previous prime is 21112222112183. The next prime is 21112222112227. The reversal of 21112222112201 is 10221122221112.

It can be written as a sum of positive squares in 4 ways, for example, as 13247590796176 + 7864631316025 = 3639724^2 + 2804395^2 .

It is a de Polignac number, because none of the positive numbers 2k-21112222112201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21112222112801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120912881 + ... + 121087361.

It is an arithmetic number, because the mean of its divisors is an integer number (976594161851).

Almost surely, 221112222112201 is an apocalyptic number.

It is an amenable number.

21112222112201 is a deficient number, since it is larger than the sum of its proper divisors (2326037772223).

21112222112201 is a wasteful number, since it uses less digits than its factorization.

21112222112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184505 (or 184494 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21112222112201 its reverse (10221122221112), we get a palindrome (31333344333313).

The spelling of 21112222112201 in words is "twenty-one trillion, one hundred twelve billion, two hundred twenty-two million, one hundred twelve thousand, two hundred one".

Divisors: 1 11 101 121 1111 9901 12221 108911 174481 1000001 1198021 1919291 11000011 17622581 21112201 121000121 193848391 1727536381 2132332301 19002900191 174481174481 209031902101 1919292919291 21112222112201