Search a number
-
+
2210345101 is a prime number
BaseRepresentation
bin1000001110111111…
…0011000010001101
312201001011011110101
42003233303002031
514011322020401
61003155211101
7105526423546
oct20357630215
95631134411
102210345101
11a34755a98
125182a6a91
13292c14313
1416d7b14cd
15ce0b2101
hex83bf308d

2210345101 has 2 divisors, whose sum is σ = 2210345102. Its totient is φ = 2210345100.

The previous prime is 2210345089. The next prime is 2210345131. The reversal of 2210345101 is 1015430122.

2210345101 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., 1790136100 + 420209001 = 42310^2 + 20499^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210345101 - 215 = 2210312333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210345131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105172550 + 1105172551.

It is an arithmetic number, because the mean of its divisors is an integer number (1105172551).

Almost surely, 22210345101 is an apocalyptic number.

It is an amenable number.

2210345101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210345101 is an equidigital number, since it uses as much as digits as its factorization.

2210345101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2210345101 is about 47014.3074074265. The cubic root of 2210345101 is about 1302.6268582593.

Adding to 2210345101 its reverse (1015430122), we get a palindrome (3225775223).

The spelling of 2210345101 in words is "two billion, two hundred ten million, three hundred forty-five thousand, one hundred one".