Search a number
-
+
2023211137 is a prime number
BaseRepresentation
bin111100010010111…
…1100000010000001
312020000000202220211
41320211330002001
513120420224022
6532432234121
7101065003513
oct17045740201
95200022824
102023211137
11949060522
1248569b941
1326321326c
141529bbbb3
15bc949e77
hex7897c081

2023211137 has 2 divisors, whose sum is σ = 2023211138. Its totient is φ = 2023211136.

The previous prime is 2023211131. The next prime is 2023211149. The reversal of 2023211137 is 7311123202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1440278401 + 582932736 = 37951^2 + 24144^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023211137 - 27 = 2023211009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023211131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011605568 + 1011605569.

It is an arithmetic number, because the mean of its divisors is an integer number (1011605569).

Almost surely, 22023211137 is an apocalyptic number.

It is an amenable number.

2023211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023211137 is an equidigital number, since it uses as much as digits as its factorization.

2023211137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2023211137 is about 44980.1193528874. The cubic root of 2023211137 is about 1264.7763485729.

Adding to 2023211137 its reverse (7311123202), we get a palindrome (9334334339).

The spelling of 2023211137 in words is "two billion, twenty-three million, two hundred eleven thousand, one hundred thirty-seven".