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10202414041 is a prime number
BaseRepresentation
bin10011000000001110…
…00111101111011001
3222100000122022222201
421200013013233121
5131343304222131
64404213050201
7510553042231
oct114007075731
928300568881
1010202414041
114365aa6746
121b88926961
13c6790b4b1
146cadb2cc1
153eaa42761
hex2601c7bd9

10202414041 has 2 divisors, whose sum is σ = 10202414042. Its totient is φ = 10202414040.

The previous prime is 10202414023. The next prime is 10202414099. The reversal of 10202414041 is 14041420201.

10202414041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9216768016 + 985646025 = 96004^2 + 31395^2 .

It is an emirp because it is prime and its reverse (14041420201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10202414041 - 25 = 10202414009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10202414741) 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, 5101207020 + 5101207021.

It is an arithmetic number, because the mean of its divisors is an integer number (5101207021).

Almost surely, 210202414041 is an apocalyptic number.

It is an amenable number.

10202414041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202414041 is an equidigital number, since it uses as much as digits as its factorization.

10202414041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10202414041 its reverse (14041420201), we get a palindrome (24243834242).

The spelling of 10202414041 in words is "ten billion, two hundred two million, four hundred fourteen thousand, forty-one".