Search a number
-
+
10202221013 is a prime number
BaseRepresentation
bin10011000000001100…
…11000100111010101
3222100000021112012112
421200012120213111
5131343232033023
64404205000405
7510551306405
oct114006304725
928300245175
1010202221013
114365984716
121b88853105
13c6787168a
146cad62805
153eaa05478
hex2601989d5

10202221013 has 2 divisors, whose sum is σ = 10202221014. Its totient is φ = 10202221012.

The previous prime is 10202220997. The next prime is 10202221063. The reversal of 10202221013 is 31012220201.

It is a happy number.

10202221013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9905623729 + 296597284 = 99527^2 + 17222^2 .

It is an emirp because it is prime and its reverse (31012220201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10202221013 - 24 = 10202220997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202221063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101110506 + 5101110507.

It is an arithmetic number, because the mean of its divisors is an integer number (5101110507).

Almost surely, 210202221013 is an apocalyptic number.

It is an amenable number.

10202221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202221013 is an equidigital number, since it uses as much as digits as its factorization.

10202221013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10202221013 its reverse (31012220201), we get a palindrome (41214441214).

The spelling of 10202221013 in words is "ten billion, two hundred two million, two hundred twenty-one thousand, thirteen".