Search a number
-
+
2002221122801 is a prime number
BaseRepresentation
bin11101001000101101101…
…011011100010011110001
321002102002020021120122112
4131020231223130103301
5230301022101412201
64131450243215105
7264440622510524
oct35105553342361
97072066246575
102002221122801
11702156698269
12284063977495
13116a68780213
146cc9d868bbb
1537137ebd0bb
hex1d22dadc4f1

2002221122801 has 2 divisors, whose sum is σ = 2002221122802. Its totient is φ = 2002221122800.

The previous prime is 2002221122789. The next prime is 2002221122833. The reversal of 2002221122801 is 1082211222002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1751744896225 + 250476226576 = 1323535^2 + 500476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002221122801 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002221122851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001110561400 + 1001110561401.

It is an arithmetic number, because the mean of its divisors is an integer number (1001110561401).

Almost surely, 22002221122801 is an apocalyptic number.

It is an amenable number.

2002221122801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002221122801 is an equidigital number, since it uses as much as digits as its factorization.

2002221122801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 2002221122801 its reverse (1082211222002), we get a palindrome (3084432344803).

The spelling of 2002221122801 in words is "two trillion, two billion, two hundred twenty-one million, one hundred twenty-two thousand, eight hundred one".