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34050541201 is a prime number
BaseRepresentation
bin11111101101100100…
…100000011010010001
310020220001002201022121
4133231210200122101
51024213414304301
623350445134241
72313542552605
oct375544403221
9106801081277
1034050541201
1113493708646
12672355a381
133298601341
141910397505
15d445343a1
hex7ed920691

34050541201 has 2 divisors, whose sum is σ = 34050541202. Its totient is φ = 34050541200.

The previous prime is 34050541183. The next prime is 34050541229. The reversal of 34050541201 is 10214505043.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33138561600 + 911979601 = 182040^2 + 30199^2 .

It is an emirp because it is prime and its reverse (10214505043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34050541201 - 25 = 34050541169 is a prime.

It is not a weakly prime, because it can be changed into another prime (34050541001) 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, 17025270600 + 17025270601.

It is an arithmetic number, because the mean of its divisors is an integer number (17025270601).

Almost surely, 234050541201 is an apocalyptic number.

It is an amenable number.

34050541201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34050541201 is an equidigital number, since it uses as much as digits as its factorization.

34050541201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 34050541201 in words is "thirty-four billion, fifty million, five hundred forty-one thousand, two hundred one".