Search a number
-
+
2033013331201 is a prime number
BaseRepresentation
bin11101100101011001000…
…010011001010100000001
321012100120012020211122111
4131211121002121110001
5231302102403044301
64153541535135321
7266610652122046
oct35453102312401
97170505224574
102033013331201
11714218030186
1228a018074541
13119934cca888
14705811b11cd
1537d3b430551
hex1d959099501

2033013331201 has 2 divisors, whose sum is σ = 2033013331202. Its totient is φ = 2033013331200.

The previous prime is 2033013331199. The next prime is 2033013331253. The reversal of 2033013331201 is 1021333103302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1991316099600 + 41697231601 = 1411140^2 + 204199^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033013331201 - 21 = 2033013331199 is a prime.

Together with 2033013331199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2033013334201) 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, 1016506665600 + 1016506665601.

It is an arithmetic number, because the mean of its divisors is an integer number (1016506665601).

Almost surely, 22033013331201 is an apocalyptic number.

It is an amenable number.

2033013331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033013331201 is an equidigital number, since it uses as much as digits as its factorization.

2033013331201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2033013331201 its reverse (1021333103302), we get a palindrome (3054346434503).

The spelling of 2033013331201 in words is "two trillion, thirty-three billion, thirteen million, three hundred thirty-one thousand, two hundred one".