Search a number
-
+
10240442021 is a prime number
BaseRepresentation
bin10011000100110000…
…01011111010100101
3222102200012100120102
421202120023322211
5131433023121041
64412052113445
7511524215045
oct114230137245
928380170512
1010240442021
11438550a727
121b99605885
13c72764564
146d2071725
153ee05509b
hex26260bea5

10240442021 has 2 divisors, whose sum is σ = 10240442022. Its totient is φ = 10240442020.

The previous prime is 10240441993. The next prime is 10240442033. The reversal of 10240442021 is 12024404201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9601060225 + 639381796 = 97985^2 + 25286^2 .

It is a cyclic number.

It is not a de Polignac number, because 10240442021 - 218 = 10240179877 is a prime.

It is a super-3 number, since 3×102404420213 (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10240441984 and 10240442002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10240442041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5120221010 + 5120221011.

It is an arithmetic number, because the mean of its divisors is an integer number (5120221011).

Almost surely, 210240442021 is an apocalyptic number.

It is an amenable number.

10240442021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10240442021 is an equidigital number, since it uses as much as digits as its factorization.

10240442021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10240442021 its reverse (12024404201), we get a palindrome (22264846222).

The spelling of 10240442021 in words is "ten billion, two hundred forty million, four hundred forty-two thousand, twenty-one".