Search a number
-
+
1020331302217 is a prime number
BaseRepresentation
bin11101101100100000111…
…11000001110101001001
310121112122122100120221021
432312100133001311021
5113204114303132332
62100422252512441
7133500521653423
oct16662037016511
93545578316837
101020331302217
113637a14691a7
121458b6a7b721
13752a84b0b96
143755472d813
151b81b625c97
hexed907c1d49

1020331302217 has 2 divisors, whose sum is σ = 1020331302218. Its totient is φ = 1020331302216.

The previous prime is 1020331302187. The next prime is 1020331302223. The reversal of 1020331302217 is 7122031330201.

It is a happy number.

1020331302217 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., 960956720656 + 59374581561 = 980284^2 + 243669^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020331302217 - 211 = 1020331300169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020331302191 and 1020331302200.

It is not a weakly prime, because it can be changed into another prime (1020331302247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510165651108 + 510165651109.

It is an arithmetic number, because the mean of its divisors is an integer number (510165651109).

Almost surely, 21020331302217 is an apocalyptic number.

It is an amenable number.

1020331302217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020331302217 is an equidigital number, since it uses as much as digits as its factorization.

1020331302217 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 1020331302217 its reverse (7122031330201), we get a palindrome (8142362632418).

The spelling of 1020331302217 in words is "one trillion, twenty billion, three hundred thirty-one million, three hundred two thousand, two hundred seventeen".