Search a number
-
+
9906996101 is a prime number
BaseRepresentation
bin10010011101000000…
…01100001110000101
3221120102202112202112
421032200030032011
5130242142333401
64315021150405
7500335035362
oct111640141605
927512675675
109906996101
114224271892
121b059bb405
13c1b656192
1469da73469
153ceb3b3bb
hex24e80c385

9906996101 has 2 divisors, whose sum is σ = 9906996102. Its totient is φ = 9906996100.

The previous prime is 9906996079. The next prime is 9906996139. The reversal of 9906996101 is 1016996099.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5313681025 + 4593315076 = 72895^2 + 67774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9906996101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9906996101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9906996301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4953498050 + 4953498051.

It is an arithmetic number, because the mean of its divisors is an integer number (4953498051).

Almost surely, 29906996101 is an apocalyptic number.

It is an amenable number.

9906996101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9906996101 is an equidigital number, since it uses as much as digits as its factorization.

9906996101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 236196, while the sum is 50.

The square root of 9906996101 is about 99533.8942320655. The cubic root of 9906996101 is about 2147.7348489820.

The spelling of 9906996101 in words is "nine billion, nine hundred six million, nine hundred ninety-six thousand, one hundred one".