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10104033337 is a prime number
BaseRepresentation
bin10010110100011111…
…10101000000111001
3222002011112002000221
421122033311000321
5131143113031322
64350340300041
7505246603066
oct113217650071
928064462027
1010104033337
114315510882
121b5b9a1621
13c50413a68
146bbcc3c6d
153e20ac9c7
hex25a3f5039

10104033337 has 2 divisors, whose sum is σ = 10104033338. Its totient is φ = 10104033336.

The previous prime is 10104033323. The next prime is 10104033343. The reversal of 10104033337 is 73333040101.

It is a happy number.

10104033337 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., 8225764416 + 1878268921 = 90696^2 + 43339^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10104033337 is a prime.

It is not a weakly prime, because it can be changed into another prime (10104033307) 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, 5052016668 + 5052016669.

It is an arithmetic number, because the mean of its divisors is an integer number (5052016669).

Almost surely, 210104033337 is an apocalyptic number.

It is an amenable number.

10104033337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10104033337 is an equidigital number, since it uses as much as digits as its factorization.

10104033337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 25.

Adding to 10104033337 its reverse (73333040101), we get a palindrome (83437073438).

The spelling of 10104033337 in words is "ten billion, one hundred four million, thirty-three thousand, three hundred thirty-seven".