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105014298041 is a prime number
BaseRepresentation
bin110000111001101010…
…1110000010110111001
3101001001121221002000222
41201303111300112321
53210032130014131
6120124244505425
710405231543142
oct1416325602671
9331047832028
10105014298041
1140599919474
12184290ab275
139b976062c3
145122da4ac9
152ae956787b
hex18735705b9

105014298041 has 2 divisors, whose sum is σ = 105014298042. Its totient is φ = 105014298040.

The previous prime is 105014298001. The next prime is 105014298047. The reversal of 105014298041 is 140892410501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74185961641 + 30828336400 = 272371^2 + 175580^2 .

It is a cyclic number.

It is not a de Polignac number, because 105014298041 - 218 = 105014035897 is a prime.

It is a super-2 number, since 2×1050142980412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105014297992 and 105014298010.

It is not a weakly prime, because it can be changed into another prime (105014298047) 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, 52507149020 + 52507149021.

It is an arithmetic number, because the mean of its divisors is an integer number (52507149021).

Almost surely, 2105014298041 is an apocalyptic number.

It is an amenable number.

105014298041 is a deficient number, since it is larger than the sum of its proper divisors (1).

105014298041 is an equidigital number, since it uses as much as digits as its factorization.

105014298041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 105014298041 in words is "one hundred five billion, fourteen million, two hundred ninety-eight thousand, forty-one".