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1016810101 is a prime number
BaseRepresentation
bin111100100110110…
…100101001110101
32121212022022020101
4330212310221311
54040300410401
6244521434101
734124512636
oct7446645165
92555268211
101016810101
11481a6552a
1224463b931
131328746a8
149908588d
155e402101
hex3c9b4a75

1016810101 has 2 divisors, whose sum is σ = 1016810102. Its totient is φ = 1016810100.

The previous prime is 1016810087. The next prime is 1016810107. The reversal of 1016810101 is 1010186101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 915002001 + 101808100 = 30249^2 + 10090^2 .

It is a cyclic number.

It is not a de Polignac number, because 1016810101 - 223 = 1008421493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1016810107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508405050 + 508405051.

It is an arithmetic number, because the mean of its divisors is an integer number (508405051).

Almost surely, 21016810101 is an apocalyptic number.

It is an amenable number.

1016810101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1016810101 is an equidigital number, since it uses as much as digits as its factorization.

1016810101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

The square root of 1016810101 is about 31887.4599333343. The cubic root of 1016810101 is about 1005.5722592538.

Adding to 1016810101 its reverse (1010186101), we get a palindrome (2026996202).

The spelling of 1016810101 in words is "one billion, sixteen million, eight hundred ten thousand, one hundred one".