Search a number
-
+
10202022020017 is a prime number
BaseRepresentation
bin1001010001110101011111…
…1001100000001110110001
31100010022012110022012100001
42110131113321200032301
52314122220114120032
633410424430030001
72102033421234352
oct224352771401661
940108173265301
1010202022020017
113283720511843
121189278648301
1359007b361739
14273acd99bd29
1512a5a0b793e7
hex94757e603b1

10202022020017 has 2 divisors, whose sum is σ = 10202022020018. Its totient is φ = 10202022020016.

The previous prime is 10202022019951. The next prime is 10202022020033. The reversal of 10202022020017 is 71002022020201.

10202022020017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9104648446881 + 1097373573136 = 3017391^2 + 1047556^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10202022020017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202022019976 and 10202022020003.

It is not a weakly prime, because it can be changed into another prime (10202022026017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101011010008 + 5101011010009.

It is an arithmetic number, because the mean of its divisors is an integer number (5101011010009).

Almost surely, 210202022020017 is an apocalyptic number.

It is an amenable number.

10202022020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202022020017 is an equidigital number, since it uses as much as digits as its factorization.

10202022020017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 19.

Adding to 10202022020017 its reverse (71002022020201), we get a palindrome (81204044040218).

The spelling of 10202022020017 in words is "ten trillion, two hundred two billion, twenty-two million, twenty thousand, seventeen".