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10010010011161 is a prime number
BaseRepresentation
bin1001000110101010001100…
…0101110100011000011001
31022102221120210211111200111
42101222203011310120121
52303001000030324121
633142311330204321
72052125244133306
oct221524305643031
938387523744614
1010010010011161
11320a248766616
1211580101236a1
13577c2ac3c654
142686b673a0ad
151255b3b2c2e1
hex91aa3174619

10010010011161 has 2 divisors, whose sum is σ = 10010010011162. Its totient is φ = 10010010011160.

The previous prime is 10010010011159. The next prime is 10010010011213. The reversal of 10010010011161 is 16111001001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5674786316761 + 4335223694400 = 2382181^2 + 2082120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010010011161 - 21 = 10010010011159 is a prime.

Together with 10010010011159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10010010018161) 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, 5005005005580 + 5005005005581.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005005581).

Almost surely, 210010010011161 is an apocalyptic number.

It is an amenable number.

10010010011161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010010011161 is an equidigital number, since it uses as much as digits as its factorization.

10010010011161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10010010011161 its reverse (16111001001001), we get a palindrome (26121011012162).

The spelling of 10010010011161 in words is "ten trillion, ten billion, ten million, eleven thousand, one hundred sixty-one".