Search a number
-
+
202164223524161 is a prime number
BaseRepresentation
bin101101111101111000000110…
…101110101011110101000001
3222111210201012100000022111012
4231331320012232223311001
5202444224312210233121
61553544543454330305
760403611630614363
oct5575700656536501
9874721170008435
10202164223524161
1159463402850528
121a8109454b9995
1388a6009ab4092
1437ccb2ccc4d33
151858b4e6d3c5b
hexb7de06babd41

202164223524161 has 2 divisors, whose sum is σ = 202164223524162. Its totient is φ = 202164223524160.

The previous prime is 202164223524149. The next prime is 202164223524239. The reversal of 202164223524161 is 161425322461202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117381103073536 + 84783120450625 = 10834256^2 + 9207775^2 .

It is a cyclic number.

It is not a de Polignac number, because 202164223524161 - 210 = 202164223523137 is a prime.

It is not a weakly prime, because it can be changed into another prime (202164223524101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101082111762080 + 101082111762081.

It is an arithmetic number, because the mean of its divisors is an integer number (101082111762081).

Almost surely, 2202164223524161 is an apocalyptic number.

It is an amenable number.

202164223524161 is a deficient number, since it is larger than the sum of its proper divisors (1).

202164223524161 is an equidigital number, since it uses as much as digits as its factorization.

202164223524161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 41.

Adding to 202164223524161 its reverse (161425322461202), we get a palindrome (363589545985363).

The spelling of 202164223524161 in words is "two hundred two trillion, one hundred sixty-four billion, two hundred twenty-three million, five hundred twenty-four thousand, one hundred sixty-one".