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10010211749077 is a prime number
BaseRepresentation
bin1001000110101010111100…
…0111011000110011010101
31022102222002212102212002011
42101222233013120303111
52303001403201432302
633142343334144221
72052133243646431
oct221525707306325
938388085385064
1010010211749077
11320a341626271
1211580677b2071
13577c609849b7
142686d54519c1
151255c66cb5d7
hex91aaf1d8cd5

10010211749077 has 2 divisors, whose sum is σ = 10010211749078. Its totient is φ = 10010211749076.

The previous prime is 10010211749059. The next prime is 10010211749119. The reversal of 10010211749077 is 77094711201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9572780308081 + 437431440996 = 3093991^2 + 661386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010211749077 is a prime.

It is a super-2 number, since 2×100102117490772 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010211749177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005105874538 + 5005105874539.

It is an arithmetic number, because the mean of its divisors is an integer number (5005105874539).

Almost surely, 210010211749077 is an apocalyptic number.

It is an amenable number.

10010211749077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010211749077 is an equidigital number, since it uses as much as digits as its factorization.

10010211749077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24696, while the sum is 40.

The spelling of 10010211749077 in words is "ten trillion, ten billion, two hundred eleven million, seven hundred forty-nine thousand, seventy-seven".