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2121300133 is a prime number
BaseRepresentation
bin111111001110000…
…0111100010100101
312110211121012201121
41332130013202211
513321023101013
6550254453541
7103365516331
oct17634074245
95424535647
102121300133
11999467207
124b25042b1
1327a637ca4
14161a327c1
15c637358d
hex7e7078a5

2121300133 has 2 divisors, whose sum is σ = 2121300134. Its totient is φ = 2121300132.

The previous prime is 2121300131. The next prime is 2121300151. The reversal of 2121300133 is 3310031212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1066479649 + 1054820484 = 32657^2 + 32478^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121300133 - 21 = 2121300131 is a prime.

Together with 2121300131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121300131) 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, 1060650066 + 1060650067.

It is an arithmetic number, because the mean of its divisors is an integer number (1060650067).

Almost surely, 22121300133 is an apocalyptic number.

It is an amenable number.

2121300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121300133 is an equidigital number, since it uses as much as digits as its factorization.

2121300133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2121300133 is about 46057.5741111058. The cubic root of 2121300133 is about 1284.8942128541.

Adding to 2121300133 its reverse (3310031212), we get a palindrome (5431331345).

The spelling of 2121300133 in words is "two billion, one hundred twenty-one million, three hundred thousand, one hundred thirty-three".