Search a number
-
+
1002211121081 is a prime number
BaseRepresentation
bin11101001010110000111…
…00000001011110111001
310112210212211001000101102
432211120130001132321
5112410012021333311
62044224234301145
7132256503654122
oct16453034013671
93483784030342
101002211121081
11357043060995
1214229a5877b5
137367b3c2101
1436715d7b049
151b10a92d43b
hexe9587017b9

1002211121081 has 2 divisors, whose sum is σ = 1002211121082. Its totient is φ = 1002211121080.

The previous prime is 1002211121059. The next prime is 1002211121113. The reversal of 1002211121081 is 1801211122001.

It is a happy number.

1002211121081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 917495779600 + 84715341481 = 957860^2 + 291059^2 .

It is an emirp because it is prime and its reverse (1801211122001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002211121081 is a prime.

It is a super-2 number, since 2×10022111210812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1002211121581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501105560540 + 501105560541.

It is an arithmetic number, because the mean of its divisors is an integer number (501105560541).

Almost surely, 21002211121081 is an apocalyptic number.

It is an amenable number.

1002211121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002211121081 is an equidigital number, since it uses as much as digits as its factorization.

1002211121081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 1002211121081 its reverse (1801211122001), we get a palindrome (2803422243082).

The spelling of 1002211121081 in words is "one trillion, two billion, two hundred eleven million, one hundred twenty-one thousand, eighty-one".