Search a number
-
+
2211264101 is a prime number
BaseRepresentation
bin1000001111001101…
…0011011001100101
312201002212212002102
42003303103121211
514012040422401
61003231021445
7105540302054
oct20363233145
95632785072
102211264101
11a352234a2
1251866a885
132931766c7
1416d97039b
15ce1e456b
hex83cd3665

2211264101 has 2 divisors, whose sum is σ = 2211264102. Its totient is φ = 2211264100.

The previous prime is 2211264071. The next prime is 2211264161. The reversal of 2211264101 is 1014621122.

It is a happy number.

2211264101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2203833025 + 7431076 = 46945^2 + 2726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2211264101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211264161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105632050 + 1105632051.

It is an arithmetic number, because the mean of its divisors is an integer number (1105632051).

Almost surely, 22211264101 is an apocalyptic number.

It is an amenable number.

2211264101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211264101 is an equidigital number, since it uses as much as digits as its factorization.

2211264101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2211264101 is about 47024.0800122661. The cubic root of 2211264101 is about 1302.8073652477.

Adding to 2211264101 its reverse (1014621122), we get a palindrome (3225885223).

The spelling of 2211264101 in words is "two billion, two hundred eleven million, two hundred sixty-four thousand, one hundred one".