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1017820678181 is a prime number
BaseRepresentation
bin11101100111110101101…
…01110000100000100101
310121022011200011200012212
432303322311300200211
5113133444043200211
62055325205253205
7133351355006006
oct16637265604045
93538150150185
101017820678181
113627232691aa
12145316104205
1374c98301b28
14373971151ad
151b720eec38b
hexecfad70825

1017820678181 has 2 divisors, whose sum is σ = 1017820678182. Its totient is φ = 1017820678180.

The previous prime is 1017820678169. The next prime is 1017820678249. The reversal of 1017820678181 is 1818760287101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 523669322500 + 494151355681 = 723650^2 + 702959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1017820678181 is a prime.

It is a super-2 number, since 2×10178206781812 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017820678141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508910339090 + 508910339091.

It is an arithmetic number, because the mean of its divisors is an integer number (508910339091).

Almost surely, 21017820678181 is an apocalyptic number.

It is an amenable number.

1017820678181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017820678181 is an equidigital number, since it uses as much as digits as its factorization.

1017820678181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 301056, while the sum is 50.

The spelling of 1017820678181 in words is "one trillion, seventeen billion, eight hundred twenty million, six hundred seventy-eight thousand, one hundred eighty-one".