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105116502047 is a prime number
BaseRepresentation
bin110000111100101101…
…1101000100000011111
3101001022202020120120112
41201321123220200133
53210234311031142
6120142335240235
710410612345044
oct1417133504037
9331282216515
10105116502047
1140641585897
121845737907b
139bb283c04b
1451327ab1cb
152b03505382
hex18796e881f

105116502047 has 2 divisors, whose sum is σ = 105116502048. Its totient is φ = 105116502046.

The previous prime is 105116502011. The next prime is 105116502053. The reversal of 105116502047 is 740205611501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105116502047 is a prime.

It is a super-2 number, since 2×1051165020472 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105116502247) 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, 52558251023 + 52558251024.

It is an arithmetic number, because the mean of its divisors is an integer number (52558251024).

Almost surely, 2105116502047 is an apocalyptic number.

105116502047 is a deficient number, since it is larger than the sum of its proper divisors (1).

105116502047 is an equidigital number, since it uses as much as digits as its factorization.

105116502047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 105116502047 in words is "one hundred five billion, one hundred sixteen million, five hundred two thousand, forty-seven".