Search a number
-
+
221234430013 is a prime number
BaseRepresentation
bin1100111000001010011…
…0011000000000111101
3210011001012121111101021
43032002212120000331
512111042003230023
6245344513344141
721661252425142
oct3160246300075
9704035544337
10221234430013
1185909082813
1236a62b68051
1317b2968476c
14a9ca2da3c9
155b4c77c35d
hex338299803d

221234430013 has 2 divisors, whose sum is σ = 221234430014. Its totient is φ = 221234430012.

The previous prime is 221234430007. The next prime is 221234430019. The reversal of 221234430013 is 310034432122.

It is a balanced prime because it is at equal distance from previous prime (221234430007) and next prime (221234430019).

It can be written as a sum of positive squares in only one way, i.e., 220108290649 + 1126139364 = 469157^2 + 33558^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221234430013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221234430013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221234430019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110617215006 + 110617215007.

It is an arithmetic number, because the mean of its divisors is an integer number (110617215007).

Almost surely, 2221234430013 is an apocalyptic number.

It is an amenable number.

221234430013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221234430013 is an equidigital number, since it uses as much as digits as its factorization.

221234430013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 221234430013 its reverse (310034432122), we get a palindrome (531268862135).

The spelling of 221234430013 in words is "two hundred twenty-one billion, two hundred thirty-four million, four hundred thirty thousand, thirteen".