Search a number
-
+
2232203122001 is a prime number
BaseRepresentation
bin100000011110111001101…
…011001001010101010001
321220101201001222122001202
4200132321223021111101
5243033022444401001
64425243203440545
7320162034322106
oct40367153112521
97811631878052
102232203122001
117907435181a6
12300748386155
1313265a501008
147a07982aaad
153d0e86b296b
hex207b9ac9551

2232203122001 has 2 divisors, whose sum is σ = 2232203122002. Its totient is φ = 2232203122000.

The previous prime is 2232203121947. The next prime is 2232203122027. The reversal of 2232203122001 is 1002213022322.

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., 2083839489601 + 148363632400 = 1443551^2 + 385180^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232203122001 - 218 = 2232202859857 is a prime.

It is a super-3 number, since 3×22322031220013 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2232203122091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116101561000 + 1116101561001.

It is an arithmetic number, because the mean of its divisors is an integer number (1116101561001).

Almost surely, 22232203122001 is an apocalyptic number.

It is an amenable number.

2232203122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232203122001 is an equidigital number, since it uses as much as digits as its factorization.

2232203122001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2232203122001 its reverse (1002213022322), we get a palindrome (3234416144323).

The spelling of 2232203122001 in words is "two trillion, two hundred thirty-two billion, two hundred three million, one hundred twenty-two thousand, one".