Search a number
-
+
2002000101901 is a prime number
BaseRepresentation
bin11101001000100000100…
…000010100001000001101
321002101111211101112222021
4131020200200110020031
5230300044011230101
64131412310050141
7264432300042652
oct35104040241015
97071454345867
102002000101901
11702052957a68
12284001949951
13116a31a45c17
146cc7c373c29
15371238b05a1
hex1d22081420d

2002000101901 has 2 divisors, whose sum is σ = 2002000101902. Its totient is φ = 2002000101900.

The previous prime is 2002000101853. The next prime is 2002000102009. The reversal of 2002000101901 is 1091010002002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1023888991876 + 978111110025 = 1011874^2 + 988995^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002000101901 is a prime.

It is a super-2 number, since 2×20020001019012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002000101601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001000050950 + 1001000050951.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000050951).

Almost surely, 22002000101901 is an apocalyptic number.

It is an amenable number.

2002000101901 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002000101901 is an equidigital number, since it uses as much as digits as its factorization.

2002000101901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2002000101901 its reverse (1091010002002), we get a palindrome (3093010103903).

The spelling of 2002000101901 in words is "two trillion, two billion, one hundred one thousand, nine hundred one".