Search a number
-
+
2000000202001 is a prime number
BaseRepresentation
bin11101000110101001010…
…011010011010100010001
321002012100110020010001121
4131012221103103110101
5230232000022431001
64130442025202241
7264331604136004
oct35065123232421
97065313203047
102000000202001
11701216a7962a
12283744030381
131167a36052b9
146cb2c90353b
153705801c6a1
hex1d1a94d3511

2000000202001 has 2 divisors, whose sum is σ = 2000000202002. Its totient is φ = 2000000202000.

The previous prime is 2000000201923. The next prime is 2000000202017. The reversal of 2000000202001 is 1002020000002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1998872854225 + 1127347776 = 1413815^2 + 33576^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000000202001 - 213 = 2000000193809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000000208001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000000101000 + 1000000101001.

It is an arithmetic number, because the mean of its divisors is an integer number (1000000101001).

Almost surely, 22000000202001 is an apocalyptic number.

It is an amenable number.

2000000202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000000202001 is an equidigital number, since it uses as much as digits as its factorization.

2000000202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2000000202001 its reverse (1002020000002), we get a palindrome (3002020202003).

The spelling of 2000000202001 in words is "two trillion, two hundred two thousand, one".