Search a number
-
+
2211111310049 is a prime number
BaseRepresentation
bin100000001011010000100…
…000010001001011100001
321211101021011000120101022
4200023100200101023201
5242211323443410144
64411434233015225
7315514254014015
oct40132040211341
97741234016338
102211111310049
117827aa766754
122b8640854515
13130678881605
1479038538545
153c7b1b7bcee
hex202d08112e1

2211111310049 has 2 divisors, whose sum is σ = 2211111310050. Its totient is φ = 2211111310048.

The previous prime is 2211111309997. The next prime is 2211111310061. The reversal of 2211111310049 is 9400131111122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1245136844449 + 965974465600 = 1115857^2 + 982840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2211111310049 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211111310099) 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, 1105555655024 + 1105555655025.

It is an arithmetic number, because the mean of its divisors is an integer number (1105555655025).

Almost surely, 22211111310049 is an apocalyptic number.

It is an amenable number.

2211111310049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211111310049 is an equidigital number, since it uses as much as digits as its factorization.

2211111310049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 2211111310049 in words is "two trillion, two hundred eleven billion, one hundred eleven million, three hundred ten thousand, forty-nine".