Search a number
-
+
210301142113217 is a prime number
BaseRepresentation
bin101111110100010010001100…
…110111110001101111000001
31000120121121000011212200221102
4233310102030313301233001
5210031033214340110332
62023135002211104145
762203520230466561
oct5764221467615701
91016547004780842
10210301142113217
1161010239202191
121b70592aba2055
13904640aa5032c
1439d08b5836da1
15194a636a95062
hexbf448cdf1bc1

210301142113217 has 2 divisors, whose sum is σ = 210301142113218. Its totient is φ = 210301142113216.

The previous prime is 210301142113087. The next prime is 210301142113229. The reversal of 210301142113217 is 712311241103012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199533451148161 + 10767690965056 = 14125631^2 + 3281416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210301142113217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 210301142113217.

It is not a weakly prime, because it can be changed into another prime (210301142113247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105150571056608 + 105150571056609.

It is an arithmetic number, because the mean of its divisors is an integer number (105150571056609).

Almost surely, 2210301142113217 is an apocalyptic number.

It is an amenable number.

210301142113217 is a deficient number, since it is larger than the sum of its proper divisors (1).

210301142113217 is an equidigital number, since it uses as much as digits as its factorization.

210301142113217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 210301142113217 its reverse (712311241103012), we get a palindrome (922612383216229).

The spelling of 210301142113217 in words is "two hundred ten trillion, three hundred one billion, one hundred forty-two million, one hundred thirteen thousand, two hundred seventeen".