Search a number
-
+
2211211218001 is a prime number
BaseRepresentation
bin100000001011010110011…
…101011000110001010001
321211101112010000102022211
4200023112131120301101
5242212030032434001
64411452202232121
7315516606143602
oct40132635306121
97741463012284
102211211218001
117828510a5005
122b866a1b5641
13130693492246
1479047903da9
153c7ba814351
hex202d6758c51

2211211218001 has 2 divisors, whose sum is σ = 2211211218002. Its totient is φ = 2211211218000.

The previous prime is 2211211217993. The next prime is 2211211218017. The reversal of 2211211218001 is 1008121121122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2088097250625 + 123113967376 = 1445025^2 + 350876^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211211218001 - 23 = 2211211217993 is a prime.

It is a super-2 number, since 2×22112112180012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2211211218901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105605609000 + 1105605609001.

It is an arithmetic number, because the mean of its divisors is an integer number (1105605609001).

Almost surely, 22211211218001 is an apocalyptic number.

It is an amenable number.

2211211218001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211211218001 is an equidigital number, since it uses as much as digits as its factorization.

2211211218001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 2211211218001 its reverse (1008121121122), we get a palindrome (3219332339123).

The spelling of 2211211218001 in words is "two trillion, two hundred eleven billion, two hundred eleven million, two hundred eighteen thousand, one".