Search a number
-
+
2201122111221 = 321122233556679
BaseRepresentation
bin100000000001111101000…
…110011111111011110101
321210102110222120200200100
4200001331012133323311
5242030344230024341
64403103113504313
7315011600146245
oct40017506377365
97712428520610
102201122111221
11779544059830
122b6713412099
1312c7461a6587
147876b9c7b25
153c3c9c043b6
hex2007d19fef5

2201122111221 has 12 divisors (see below), whose sum is σ = 3468434842080. Its totient is φ = 1334013400680.

The previous prime is 2201122111219. The next prime is 2201122111261. The reversal of 2201122111221 is 1221112211022.

2201122111221 is a `hidden beast` number, since 220 + 1 + 1 + 221 + 1 + 1 + 221 = 666.

It is not a de Polignac number, because 2201122111221 - 21 = 2201122111219 is a prime.

It is a super-2 number, since 2×22011221112212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2201122111194 and 2201122111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201122111261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11116778241 + ... + 11116778438.

It is an arithmetic number, because the mean of its divisors is an integer number (289036236840).

Almost surely, 22201122111221 is an apocalyptic number.

It is an amenable number.

2201122111221 is a deficient number, since it is larger than the sum of its proper divisors (1267312730859).

2201122111221 is a wasteful number, since it uses less digits than its factorization.

2201122111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22233556696 (or 22233556693 counting only the distinct ones).

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

Adding to 2201122111221 its reverse (1221112211022), we get a palindrome (3422234322243).

The spelling of 2201122111221 in words is "two trillion, two hundred one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 22233556679 66700670037 200102010111 244569123469 733707370407 2201122111221