Search a number
-
+
2011224101 is a prime number
BaseRepresentation
bin111011111100000…
…1101100000100101
312012011110202210112
41313320031200211
513104333132401
6531323302405
7100561060055
oct16770154045
95164422715
102011224101
11942313487
1248167aa05
132608a7143
1415117b565
15bb87d3bb
hex77e0d825

2011224101 has 2 divisors, whose sum is σ = 2011224102. Its totient is φ = 2011224100.

The previous prime is 2011224071. The next prime is 2011224113. The reversal of 2011224101 is 1014221102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1579665025 + 431559076 = 39745^2 + 20774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2011224101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011224181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005612050 + 1005612051.

It is an arithmetic number, because the mean of its divisors is an integer number (1005612051).

Almost surely, 22011224101 is an apocalyptic number.

It is an amenable number.

2011224101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011224101 is an equidigital number, since it uses as much as digits as its factorization.

2011224101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2011224101 is about 44846.6732433968. The cubic root of 2011224101 is about 1262.2735680703.

Adding to 2011224101 its reverse (1014221102), we get a palindrome (3025445203).

Subtracting from 2011224101 its reverse (1014221102), we obtain a cube (997002999 = 9993).

The spelling of 2011224101 in words is "two billion, eleven million, two hundred twenty-four thousand, one hundred one".