[go: up one dir, main page]

Search a number
-
+
2133003013 is a prime number
BaseRepresentation
bin111111100100011…
…0000101100000101
312111122121210001121
41333020300230011
513332022044023
6551353353541
7103600140451
oct17710605405
95448553047
102133003013
119a502a809
124b64088b1
1327cba497b
141633db661
15c73d5d5d
hex7f230b05

2133003013 has 2 divisors, whose sum is σ = 2133003014. Its totient is φ = 2133003012.

The previous prime is 2133003011. The next prime is 2133003031. The reversal of 2133003013 is 3103003312.

Together with next prime (2133003031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1314642564 + 818360449 = 36258^2 + 28607^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133003013 - 21 = 2133003011 is a prime.

Together with 2133003011, 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 (2133003011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066501506 + 1066501507.

It is an arithmetic number, because the mean of its divisors is an integer number (1066501507).

Almost surely, 22133003013 is an apocalyptic number.

It is an amenable number.

2133003013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133003013 is an equidigital number, since it uses as much as digits as its factorization.

2133003013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2133003013 is about 46184.4455742407. The cubic root of 2133003013 is about 1287.2527342164.

Adding to 2133003013 its reverse (3103003312), we get a palindrome (5236006325).

The spelling of 2133003013 in words is "two billion, one hundred thirty-three million, three thousand, thirteen".