Search a number
-
+
1022231330017 is a prime number
BaseRepresentation
bin11101110000000011011…
…11000011110011100001
310121201120001121000002021
432320001233003303201
5113222012210030032
62101335005021441
7133565562640162
oct16700157036341
93551501530067
101022231330017
11364586a33207
12146147254881
137551c0242a1
1437694c03769
151b8cd33c097
hexee01bc3ce1

1022231330017 has 2 divisors, whose sum is σ = 1022231330018. Its totient is φ = 1022231330016.

The previous prime is 1022231329981. The next prime is 1022231330023. The reversal of 1022231330017 is 7100331322201.

It is a happy number.

1022231330017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002689806336 + 19541523681 = 1001344^2 + 139791^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022231330017 - 211 = 1022231327969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022231329973 and 1022231330000.

It is not a weakly prime, because it can be changed into another prime (1022231330027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511115665008 + 511115665009.

It is an arithmetic number, because the mean of its divisors is an integer number (511115665009).

Almost surely, 21022231330017 is an apocalyptic number.

It is an amenable number.

1022231330017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022231330017 is an equidigital number, since it uses as much as digits as its factorization.

1022231330017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 1022231330017 its reverse (7100331322201), we get a palindrome (8122562652218).

The spelling of 1022231330017 in words is "one trillion, twenty-two billion, two hundred thirty-one million, three hundred thirty thousand, seventeen".