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2133204137 is a prime number
BaseRepresentation
bin111111100100110…
…0001110010101001
312111122222222221122
41333021201302221
513332100013022
6551401545025
7103601636021
oct17711416251
95448888848
102133204137
119a5157929
124b64a5175
1327cc4538c
14163450a81
15c7425742
hex7f261ca9

2133204137 has 2 divisors, whose sum is σ = 2133204138. Its totient is φ = 2133204136.

The previous prime is 2133204079. The next prime is 2133204167. The reversal of 2133204137 is 7314023312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1590733456 + 542470681 = 39884^2 + 23291^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133204137 - 210 = 2133203113 is a prime.

It is a super-2 number, since 2×21332041372 = 9101119780227829538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2133204167) 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, 1066602068 + 1066602069.

It is an arithmetic number, because the mean of its divisors is an integer number (1066602069).

Almost surely, 22133204137 is an apocalyptic number.

It is an amenable number.

2133204137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133204137 is an equidigital number, since it uses as much as digits as its factorization.

2133204137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 2133204137 is about 46186.6229226602. The cubic root of 2133204137 is about 1287.2931919311.

Adding to 2133204137 its reverse (7314023312), we get a palindrome (9447227449).

The spelling of 2133204137 in words is "two billion, one hundred thirty-three million, two hundred four thousand, one hundred thirty-seven".