Search a number
-
+
23144011013 is a prime number
BaseRepresentation
bin10101100011011111…
…011001010100000101
32012201221112120120002
4111203133121110011
5334344331323023
614344320251045
71446346563524
oct254337312405
965657476502
1023144011013
1198a7211032
12459aa70a85
13224ab72096
141197a984bb
15906ca9b28
hex5637d9505

23144011013 has 2 divisors, whose sum is σ = 23144011014. Its totient is φ = 23144011012.

The previous prime is 23144010991. The next prime is 23144011057. The reversal of 23144011013 is 31011044132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20860891489 + 2283119524 = 144433^2 + 47782^2 .

It is a cyclic number.

It is not a de Polignac number, because 23144011013 - 210 = 23144009989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53144011013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11572005506 + 11572005507.

It is an arithmetic number, because the mean of its divisors is an integer number (11572005507).

Almost surely, 223144011013 is an apocalyptic number.

It is an amenable number.

23144011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23144011013 is an equidigital number, since it uses as much as digits as its factorization.

23144011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 23144011013 its reverse (31011044132), we get a palindrome (54155055145).

The spelling of 23144011013 in words is "twenty-three billion, one hundred forty-four million, eleven thousand, thirteen".