Search a number
-
+
22220020013 is a prime number
BaseRepresentation
bin10100101100011010…
…101001100100101101
32010100112212222012012
4110230122221210231
5331001311120023
614112512051005
71414430024312
oct245432514455
963315788165
1022220020013
119472692a04
124381533a65
1321315c8849
14110b094d09
158a0ade978
hex52c6a992d

22220020013 has 2 divisors, whose sum is σ = 22220020014. Its totient is φ = 22220020012.

The previous prime is 22220019989. The next prime is 22220020049. The reversal of 22220020013 is 31002002222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22188187849 + 31832164 = 148957^2 + 5642^2 .

It is a cyclic number.

It is not a de Polignac number, because 22220020013 - 224 = 22203242797 is a prime.

It is a super-4 number, since 4×222200200134 (a number of 42 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22220020013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22220020063) 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 as a sum of consecutive naturals, namely, 11110010006 + 11110010007.

It is an arithmetic number, because the mean of its divisors is an integer number (11110010007).

Almost surely, 222220020013 is an apocalyptic number.

It is an amenable number.

22220020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22220020013 is an equidigital number, since it uses as much as digits as its factorization.

22220020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 22220020013 its reverse (31002002222), we get a palindrome (53222022235).

The spelling of 22220020013 in words is "twenty-two billion, two hundred twenty million, twenty thousand, thirteen".