Search a number
-
+
40033122001 is a prime number
BaseRepresentation
bin100101010010001010…
…001111011011010001
310211022222101022100021
4211102022033123101
51123441434401001
630220240423441
72615025631255
oct452212173321
9124288338307
1040033122001
1115a837210a4
127913017b81
133a0cbab592
141d1ab50265
15109487aba1
hex95228f6d1

40033122001 has 2 divisors, whose sum is σ = 40033122002. Its totient is φ = 40033122000.

The previous prime is 40033121987. The next prime is 40033122013. The reversal of 40033122001 is 10022133004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39418131600 + 614990401 = 198540^2 + 24799^2 .

It is a cyclic number.

It is not a de Polignac number, because 40033122001 - 231 = 37885638353 is a prime.

It is not a weakly prime, because it can be changed into another prime (40033122091) 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, 20016561000 + 20016561001.

It is an arithmetic number, because the mean of its divisors is an integer number (20016561001).

Almost surely, 240033122001 is an apocalyptic number.

It is an amenable number.

40033122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

40033122001 is an equidigital number, since it uses as much as digits as its factorization.

40033122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 40033122001 its reverse (10022133004), we get a palindrome (50055255005).

The spelling of 40033122001 in words is "forty billion, thirty-three million, one hundred twenty-two thousand, one".