Search a number
-
+
12221102002221 = 327792455515773
BaseRepresentation
bin1011000111010111001001…
…1100011001000000101101
31121021022210121111120101200
42301311302130121000231
53100212304103032341
641554144033200113
72400642205015620
oct261656234310055
947238717446350
1012221102002221
113991a38527662
121454646400039
136a85a27b87b8
1430370c485db7
15162d73c3edb6
hexb1d7271902d

12221102002221 has 24 divisors (see below), whose sum is σ = 20429891239680. Its totient is φ = 6895088287776.

The previous prime is 12221102002211. The next prime is 12221102002261. The reversal of 12221102002221 is 12220020112221.

It is a happy number.

12221102002221 is a `hidden beast` number, since 12 + 221 + 10 + 200 + 2 + 221 = 666.

It is not a de Polignac number, because 12221102002221 - 222 = 12221097807917 is a prime.

It is a super-3 number, since 3×122211020022213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12221102002194 and 12221102002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221102002211) 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, 1227752910 + ... + 1227762863.

It is an arithmetic number, because the mean of its divisors is an integer number (851245468320).

Almost surely, 212221102002221 is an apocalyptic number.

It is an amenable number.

12221102002221 is a deficient number, since it is larger than the sum of its proper divisors (8208789237459).

12221102002221 is a wasteful number, since it uses less digits than its factorization.

12221102002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455515865 (or 2455515862 counting only the distinct ones).

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

Adding to 12221102002221 its reverse (12220020112221), we get a palindrome (24441122114442).

The spelling of 12221102002221 in words is "twelve trillion, two hundred twenty-one billion, one hundred two million, two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 79 237 553 711 1659 4977 2455515773 7366547319 17188610411 22099641957 51565831233 154697493699 193985746067 581957238201 1357900222469 1745871714603 4073700667407 12221102002221