Search a number
-
+
2133003022301 is a prime number
BaseRepresentation
bin11111000010100000111…
…000110010111111011101
321112220122122111102202002
4133002200320302333131
5234421342233203201
64311515453212045
7310050542353334
oct37024070627735
97486578442662
102133003022301
11752668665028
122a5482491025
131261ab63ac78
1475348b0ad1b
153a73e7d076b
hex1f0a0e32fdd

2133003022301 has 2 divisors, whose sum is σ = 2133003022302. Its totient is φ = 2133003022300.

The previous prime is 2133003022207. The next prime is 2133003022313. The reversal of 2133003022301 is 1032203003312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2076048722500 + 56954299801 = 1440850^2 + 238651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2133003022301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133003021301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066501511150 + 1066501511151.

It is an arithmetic number, because the mean of its divisors is an integer number (1066501511151).

Almost surely, 22133003022301 is an apocalyptic number.

It is an amenable number.

2133003022301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133003022301 is an equidigital number, since it uses as much as digits as its factorization.

2133003022301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2133003022301 its reverse (1032203003312), we get a palindrome (3165206025613).

The spelling of 2133003022301 in words is "two trillion, one hundred thirty-three billion, three million, twenty-two thousand, three hundred one".