Search a number
-
+
12220002221 = 710140143103
BaseRepresentation
bin10110110000101111…
…00110111110101101
31011112122002102122212
423120113212332231
5200011310032341
65340325020205
7611552206430
oct133027467655
934478072585
1012220002221
115200966599
122450554665
1311c990325b
1483cd29817
154b7c2b5eb
hex2d85e6fad

12220002221 has 16 divisors (see below), whose sum is σ = 14139491328. Its totient is φ = 10344480000.

The previous prime is 12220002191. The next prime is 12220002233.

12220002221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12220002221 - 214 = 12219985837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220002196 and 12220002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220002521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261956 + ... + 305058.

It is an arithmetic number, because the mean of its divisors is an integer number (883718208).

Almost surely, 212220002221 is an apocalyptic number.

It is an amenable number.

12220002221 is a deficient number, since it is larger than the sum of its proper divisors (1919489107).

12220002221 is a wasteful number, since it uses less digits than its factorization.

12220002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43612.

The product of its (nonzero) digits is 64, while the sum is 14.

It can be divided in two parts, 1222000 and 2221, that added together give a palindrome (1224221).

The spelling of 12220002221 in words is "twelve billion, two hundred twenty million, two thousand, two hundred twenty-one".

Divisors: 1 7 101 401 707 2807 40501 43103 283507 301721 4353403 17284303 30473821 120990121 1745714603 12220002221