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10490198137 is a prime number
BaseRepresentation
bin10011100010100001…
…11011100001111001
31000002002011021112221
421301100323201321
5132440442320022
64452533204041
7520646133016
oct116120734171
930062137487
1010490198137
1144a3497141
122049190621
13cb241cc43
147172c670d
15415e3bcc7
hex27143b879

10490198137 has 2 divisors, whose sum is σ = 10490198138. Its totient is φ = 10490198136.

The previous prime is 10490198123. The next prime is 10490198149. The reversal of 10490198137 is 73189109401.

10490198137 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., 10301438016 + 188760121 = 101496^2 + 13739^2 .

It is a cyclic number.

It is not a de Polignac number, because 10490198137 - 223 = 10481809529 is a prime.

It is a super-2 number, since 2×104901981372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10490198093 and 10490198102.

It is not a weakly prime, because it can be changed into another prime (10490198197) 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, 5245099068 + 5245099069.

It is an arithmetic number, because the mean of its divisors is an integer number (5245099069).

Almost surely, 210490198137 is an apocalyptic number.

It is an amenable number.

10490198137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10490198137 is an equidigital number, since it uses as much as digits as its factorization.

10490198137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 43.

The spelling of 10490198137 in words is "ten billion, four hundred ninety million, one hundred ninety-eight thousand, one hundred thirty-seven".