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10000202041 is a prime number
BaseRepresentation
bin10010101000000111…
…01111100100111001
3221210221010220021101
421110003233210321
5130440022431131
64332151011401
7502546212664
oct112403574471
927727126241
1010000202041
114271942895
121b31069b61
13c34a5b41b
146ac1b66db
153d7decc61
hex2540ef939

10000202041 has 2 divisors, whose sum is σ = 10000202042. Its totient is φ = 10000202040.

The previous prime is 10000201997. The next prime is 10000202063. The reversal of 10000202041 is 14020200001.

10000202041 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., 9250592400 + 749609641 = 96180^2 + 27379^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000202041 - 233 = 1410267449 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000202081) 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, 5000101020 + 5000101021.

It is an arithmetic number, because the mean of its divisors is an integer number (5000101021).

Almost surely, 210000202041 is an apocalyptic number.

It is an amenable number.

10000202041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000202041 is an equidigital number, since it uses as much as digits as its factorization.

10000202041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10000202041 its reverse (14020200001), we get a palindrome (24020402042).

The spelling of 10000202041 in words is "ten billion, two hundred two thousand, forty-one".