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10475040101 is a prime number
BaseRepresentation
bin10011100000101110…
…00110110101100101
31000001000122011122012
421300113012311211
5132423102240401
64451232244005
7520403241341
oct116027066545
930030564565
1010475040101
114495983739
1220440a0605
13cac2436a6
1471529c621
154149458bb
hex2705c6d65

10475040101 has 2 divisors, whose sum is σ = 10475040102. Its totient is φ = 10475040100.

The previous prime is 10475040073. The next prime is 10475040113. The reversal of 10475040101 is 10104057401.

It is a happy number.

10475040101 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., 8393308225 + 2081731876 = 91615^2 + 45626^2 .

It is a cyclic number.

It is not a de Polignac number, because 10475040101 - 210 = 10475039077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10475040131) 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, 5237520050 + 5237520051.

It is an arithmetic number, because the mean of its divisors is an integer number (5237520051).

Almost surely, 210475040101 is an apocalyptic number.

It is an amenable number.

10475040101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10475040101 is an equidigital number, since it uses as much as digits as its factorization.

10475040101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 10475040101 its reverse (10104057401), we get a palindrome (20579097502).

The spelling of 10475040101 in words is "ten billion, four hundred seventy-five million, forty thousand, one hundred one".