Search a number
-
+
2133002103301 is a prime number
BaseRepresentation
bin11111000010100000110…
…101010010101000000101
321112220122120202202010001
4133002200311102220011
5234421342014301201
64311515421401301
7310050531505126
oct37024065225005
97486576682101
102133002103301
11752668097623
122a5482109231
131261ab3a8894
147534894c04d
153a73e69d301
hex1f0a0d52a05

2133002103301 has 2 divisors, whose sum is σ = 2133002103302. Its totient is φ = 2133002103300.

The previous prime is 2133002103293. The next prime is 2133002103307. The reversal of 2133002103301 is 1033012003312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1281313066401 + 851689036900 = 1131951^2 + 922870^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133002103301 - 23 = 2133002103293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133002103307) 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, 1066501051650 + 1066501051651.

It is an arithmetic number, because the mean of its divisors is an integer number (1066501051651).

Almost surely, 22133002103301 is an apocalyptic number.

It is an amenable number.

2133002103301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133002103301 is an equidigital number, since it uses as much as digits as its factorization.

2133002103301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2133002103301 its reverse (1033012003312), we get a palindrome (3166014106613).

The spelling of 2133002103301 in words is "two trillion, one hundred thirty-three billion, two million, one hundred three thousand, three hundred one".