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948105001 is a prime number
BaseRepresentation
bin111000100000101…
…110111100101001
32110002000201120001
4320200232330221
53420203330001
6234025103001
732331521344
oct7040567451
92402021501
10948105001
114471a9358
12225627a61
1312156a39c
148dcbd45b
1558380001
hex3882ef29

948105001 has 2 divisors, whose sum is σ = 948105002. Its totient is φ = 948105000.

The previous prime is 948104981. The next prime is 948105017. The reversal of 948105001 is 100501849.

It is a happy number.

948105001 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., 934891776 + 13213225 = 30576^2 + 3635^2 .

It is a cyclic number.

It is not a de Polignac number, because 948105001 - 221 = 946007849 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (948105031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 474052500 + 474052501.

It is an arithmetic number, because the mean of its divisors is an integer number (474052501).

Almost surely, 2948105001 is an apocalyptic number.

It is an amenable number.

948105001 is a deficient number, since it is larger than the sum of its proper divisors (1).

948105001 is an equidigital number, since it uses as much as digits as its factorization.

948105001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 948105001 is about 30791.3137264391. The cubic root of 948105001 is about 982.3934973377.

The spelling of 948105001 in words is "nine hundred forty-eight million, one hundred five thousand, one".