Search a number
-
+
2133302401 is a prime number
BaseRepresentation
bin111111100100111…
…1001110010000001
312111200011222202001
41333021321302001
513332111134101
6551404024001
7103602525346
oct17711716201
95450158661
102133302401
119a521473a
124b6532001
1327cc7b019
141634787cd
15c7444901
hex7f279c81

2133302401 has 2 divisors, whose sum is σ = 2133302402. Its totient is φ = 2133302400.

The previous prime is 2133302389. The next prime is 2133302407. The reversal of 2133302401 is 1042033312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2130745600 + 2556801 = 46160^2 + 1599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133302401 - 29 = 2133301889 is a prime.

It is a super-2 number, since 2×21333024012 = 9101958268224729602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2133302407) 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, 1066651200 + 1066651201.

It is an arithmetic number, because the mean of its divisors is an integer number (1066651201).

Almost surely, 22133302401 is an apocalyptic number.

It is an amenable number.

2133302401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133302401 is an equidigital number, since it uses as much as digits as its factorization.

2133302401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2133302401 is about 46187.6866816254. The cubic root of 2133302401 is about 1287.3129576025.

Adding to 2133302401 its reverse (1042033312), we get a palindrome (3175335713).

The spelling of 2133302401 in words is "two billion, one hundred thirty-three million, three hundred two thousand, four hundred one".