Search a number
-
+
10185335917 is a prime number
BaseRepresentation
bin10010111110001011…
…11110010001101101
3222021211111200012121
421133011332101231
5131324421222132
64402403032541
7510254632621
oct113705762155
928254450177
1010185335917
1143573a1699
121b8306b751
13c6420bcb3
146c8a09181
153e92bc497
hex25f17e46d

10185335917 has 2 divisors, whose sum is σ = 10185335918. Its totient is φ = 10185335916.

The previous prime is 10185335887. The next prime is 10185335921. The reversal of 10185335917 is 71953358101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9740505636 + 444830281 = 98694^2 + 21091^2 .

It is a cyclic number.

It is not a de Polignac number, because 10185335917 - 231 = 8037852269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10185335957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5092667958 + 5092667959.

It is an arithmetic number, because the mean of its divisors is an integer number (5092667959).

Almost surely, 210185335917 is an apocalyptic number.

It is an amenable number.

10185335917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10185335917 is an equidigital number, since it uses as much as digits as its factorization.

10185335917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 43.

The spelling of 10185335917 in words is "ten billion, one hundred eighty-five million, three hundred thirty-five thousand, nine hundred seventeen".