Search a number
-
+
1000369888781 is a prime number
BaseRepresentation
bin11101000111010101011…
…00010001111000001101
310112122010111102201111112
432203222230101320031
5112342224142420111
62043321422301405
7132163045516664
oct16435254217015
93478114381445
101000369888781
113562887a48aa
12141a65a27865
1373446ac6643
14365bd60dddb
151b04de7ce8b
hexe8eab11e0d

1000369888781 has 2 divisors, whose sum is σ = 1000369888782. Its totient is φ = 1000369888780.

The previous prime is 1000369888759. The next prime is 1000369888807. The reversal of 1000369888781 is 1878889630001.

1000369888781 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., 806915941225 + 193453947556 = 898285^2 + 439834^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000369888781 - 26 = 1000369888717 is a prime.

It is a super-3 number, since 3×10003698887813 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1000369888781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000369888711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500184944390 + 500184944391.

It is an arithmetic number, because the mean of its divisors is an integer number (500184944391).

Almost surely, 21000369888781 is an apocalyptic number.

It is an amenable number.

1000369888781 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000369888781 is an equidigital number, since it uses as much as digits as its factorization.

1000369888781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4644864, while the sum is 59.

The spelling of 1000369888781 in words is "one trillion, three hundred sixty-nine million, eight hundred eighty-eight thousand, seven hundred eighty-one".