Search a number
-
+
2133003213127 is a prime number
BaseRepresentation
bin11111000010100000111…
…001100001100101000111
321112220122122212010111201
4133002200321201211013
5234421342310310002
64311515501243331
7310050544106563
oct37024071414507
97486578763451
102133003213127
11752668785436
122a5482563547
131261ab6a6a97
1475348b5a6a3
153a73e81c087
hex1f0a0e61947

2133003213127 has 2 divisors, whose sum is σ = 2133003213128. Its totient is φ = 2133003213126.

The previous prime is 2133003213083. The next prime is 2133003213169. The reversal of 2133003213127 is 7213123003312.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2133003213127 - 227 = 2132868995399 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133003213095 and 2133003213104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133003213727) 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, 1066501606563 + 1066501606564.

It is an arithmetic number, because the mean of its divisors is an integer number (1066501606564).

Almost surely, 22133003213127 is an apocalyptic number.

2133003213127 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133003213127 is an equidigital number, since it uses as much as digits as its factorization.

2133003213127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 2133003213127 its reverse (7213123003312), we get a palindrome (9346126216439).

The spelling of 2133003213127 in words is "two trillion, one hundred thirty-three billion, three million, two hundred thirteen thousand, one hundred twenty-seven".