Search a number
-
+
10490198197 is a prime number
BaseRepresentation
bin10011100010100001…
…11011100010110101
31000002002011021122011
421301100323202311
5132440442320242
64452533204221
7520646133133
oct116120734265
930062137564
1010490198197
1144a3497196
122049190671
13cb241cc8b
147172c6753
15415e3bd17
hex27143b8b5

10490198197 has 2 divisors, whose sum is σ = 10490198198. Its totient is φ = 10490198196.

The previous prime is 10490198149. The next prime is 10490198207. The reversal of 10490198197 is 79189109401.

10490198197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10431353956 + 58844241 = 102134^2 + 7671^2 .

It is a cyclic number.

It is not a de Polignac number, because 10490198197 - 223 = 10481809589 is a prime.

It is a super-2 number, since 2×104901981972 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10490198197.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10490198137) 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, 5245099098 + 5245099099.

It is an arithmetic number, because the mean of its divisors is an integer number (5245099099).

Almost surely, 210490198197 is an apocalyptic number.

It is an amenable number.

10490198197 is a deficient number, since it is larger than the sum of its proper divisors (1).

10490198197 is an equidigital number, since it uses as much as digits as its factorization.

10490198197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 49.

The spelling of 10490198197 in words is "ten billion, four hundred ninety million, one hundred ninety-eight thousand, one hundred ninety-seven".