Search a number
-
+
21623077013 is a prime number
BaseRepresentation
bin10100001000110101…
…011111100010010101
32001210221122010100012
4110020311133202111
5323241001431023
613533345330005
71363561056566
oct241065374225
961727563305
1021623077013
11919673288a
124235636905
132067a30535
141091aa616d
158684c7978
hex508d5f895

21623077013 has 2 divisors, whose sum is σ = 21623077014. Its totient is φ = 21623077012.

The previous prime is 21623076989. The next prime is 21623077169. The reversal of 21623077013 is 31077032612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21332647249 + 290429764 = 146057^2 + 17042^2 .

It is a cyclic number.

It is not a de Polignac number, because 21623077013 - 28 = 21623076757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21623071013) 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, 10811538506 + 10811538507.

It is an arithmetic number, because the mean of its divisors is an integer number (10811538507).

Almost surely, 221623077013 is an apocalyptic number.

It is an amenable number.

21623077013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21623077013 is an equidigital number, since it uses as much as digits as its factorization.

21623077013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 21623077013 in words is "twenty-one billion, six hundred twenty-three million, seventy-seven thousand, thirteen".