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16112122102177 is a prime number
BaseRepresentation
bin1110101001110110010101…
…0100001000000110100001
32010001022012111021202000121
43222131211110020012201
54102440111224232202
654133450125520241
73252030256115653
oct352354524100641
963038174252017
1016112122102177
115152126980332
121982779113081
138cb49c54127a
143d9b8bca26d3
151ce1a7454537
hexea7655081a1

16112122102177 has 2 divisors, whose sum is σ = 16112122102178. Its totient is φ = 16112122102176.

The previous prime is 16112122102081. The next prime is 16112122102207. The reversal of 16112122102177 is 77120122121161.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12503854694241 + 3608267407936 = 3536079^2 + 1899544^2 .

It is a cyclic number.

It is not a de Polignac number, because 16112122102177 - 223 = 16112113713569 is a prime.

It is not a weakly prime, because it can be changed into another prime (16112122702177) 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, 8056061051088 + 8056061051089.

It is an arithmetic number, because the mean of its divisors is an integer number (8056061051089).

Almost surely, 216112122102177 is an apocalyptic number.

It is an amenable number.

16112122102177 is a deficient number, since it is larger than the sum of its proper divisors (1).

16112122102177 is an equidigital number, since it uses as much as digits as its factorization.

16112122102177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 34.

The spelling of 16112122102177 in words is "sixteen trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred seventy-seven".