Search a number
-
+
213332044104037 is a prime number
BaseRepresentation
bin110000100000011000111100…
…101101010100000101100101
31000222100100021221200202120001
4300200120330231110011211
5210430213011242312122
62033415215455341301
762635505632362445
oct6040307455240545
91028310257622501
10213332044104037
1161a79680383a51
121bb15219b21831
139206182787bb1
143a9747c892125
15199e3c91d4527
hexc2063cb54165

213332044104037 has 2 divisors, whose sum is σ = 213332044104038. Its totient is φ = 213332044104036.

The previous prime is 213332044103963. The next prime is 213332044104079. The reversal of 213332044104037 is 730401440233312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190987949985921 + 22344094118116 = 13819839^2 + 4726954^2 .

It is a cyclic number.

It is not a de Polignac number, because 213332044104037 - 215 = 213332044071269 is a prime.

It is a super-2 number, since 2×2133320441040372 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213332044103987 and 213332044104005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213332044104937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106666022052018 + 106666022052019.

It is an arithmetic number, because the mean of its divisors is an integer number (106666022052019).

Almost surely, 2213332044104037 is an apocalyptic number.

It is an amenable number.

213332044104037 is a deficient number, since it is larger than the sum of its proper divisors (1).

213332044104037 is an equidigital number, since it uses as much as digits as its factorization.

213332044104037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 37.

Adding to 213332044104037 its reverse (730401440233312), we get a palindrome (943733484337349).

The spelling of 213332044104037 in words is "two hundred thirteen trillion, three hundred thirty-two billion, forty-four million, one hundred four thousand, thirty-seven".