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100014121841 is a prime number
BaseRepresentation
bin101110100100101001…
…1100110001101110001
3100120011011012210202212
41131021103212031301
53114312103344331
6113540145421505
710140305003024
oct1351123461561
9316134183685
10100014121841
1139463401047
121747263a895
13957b71546a
144baac991bb
1529055c8d2b
hex17494e6371

100014121841 has 2 divisors, whose sum is σ = 100014121842. Its totient is φ = 100014121840.

The previous prime is 100014121789. The next prime is 100014121847. The reversal of 100014121841 is 148121410001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76574511841 + 23439610000 = 276721^2 + 153100^2 .

It is a cyclic number.

It is not a de Polignac number, because 100014121841 - 230 = 98940380017 is a prime.

It is not a weakly prime, because it can be changed into another prime (100014121847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50007060920 + 50007060921.

It is an arithmetic number, because the mean of its divisors is an integer number (50007060921).

Almost surely, 2100014121841 is an apocalyptic number.

It is an amenable number.

100014121841 is a deficient number, since it is larger than the sum of its proper divisors (1).

100014121841 is an equidigital number, since it uses as much as digits as its factorization.

100014121841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 100014121841 its reverse (148121410001), we get a palindrome (248135531842).

The spelling of 100014121841 in words is "one hundred billion, fourteen million, one hundred twenty-one thousand, eight hundred forty-one".