Search a number
-
+
20213103137 is a prime number
BaseRepresentation
bin10010110100110010…
…110111101000100001
31221011200112000210112
4102310302313220201
5312344023300022
613141420541105
71313620353563
oct226462675041
957150460715
1020213103137
118632851617
123b013b1795
131ba189c076
14d9a719333
157d48128e2
hex4b4cb7a21

20213103137 has 2 divisors, whose sum is σ = 20213103138. Its totient is φ = 20213103136.

The previous prime is 20213103121. The next prime is 20213103151. The reversal of 20213103137 is 73130131202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18052340881 + 2160762256 = 134359^2 + 46484^2 .

It is a cyclic number.

It is not a de Polignac number, because 20213103137 - 24 = 20213103121 is a prime.

It is not a weakly prime, because it can be changed into another prime (20213102137) 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, 10106551568 + 10106551569.

It is an arithmetic number, because the mean of its divisors is an integer number (10106551569).

Almost surely, 220213103137 is an apocalyptic number.

It is an amenable number.

20213103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20213103137 is an equidigital number, since it uses as much as digits as its factorization.

20213103137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

Adding to 20213103137 its reverse (73130131202), we get a palindrome (93343234339).

The spelling of 20213103137 in words is "twenty billion, two hundred thirteen million, one hundred three thousand, one hundred thirty-seven".