Search a number
-
+
2242020003001 is a prime number
BaseRepresentation
bin100000101000000010110…
…011100100110010111001
321221100001020011212010221
4200220002303210302321
5243213124110044001
64433545245340041
7320660226405322
oct40500263446271
97840036155127
102242020003001
1179492092a199
12302627b67621
13133563294a3c
147a72b523449
153d4c044d1a1
hex20a02ce4cb9

2242020003001 has 2 divisors, whose sum is σ = 2242020003002. Its totient is φ = 2242020003000.

The previous prime is 2242020002917. The next prime is 2242020003017. The reversal of 2242020003001 is 1003000202422.

It is an a-pointer prime, because the next prime (2242020003017) can be obtained adding 2242020003001 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1210657889401 + 1031362113600 = 1100299^2 + 1015560^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242020003001 - 221 = 2242017905849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2242020003071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121010001500 + 1121010001501.

It is an arithmetic number, because the mean of its divisors is an integer number (1121010001501).

Almost surely, 22242020003001 is an apocalyptic number.

It is an amenable number.

2242020003001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242020003001 is an equidigital number, since it uses as much as digits as its factorization.

2242020003001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2242020003001 its reverse (1003000202422), we get a palindrome (3245020205423).

The spelling of 2242020003001 in words is "two trillion, two hundred forty-two billion, twenty million, three thousand, one".