Search a number
-
+
1186382362961 is a prime number
BaseRepresentation
bin10001010000111001111…
…001100011100101010001
311012102021000201110210002
4101100321321203211101
5123414202341103321
62305003323215345
7151466442461225
oct21207171434521
94172230643702
101186382362961
11418161a07904
12171b19077555
1387b4c283703
14415c7b44785
1520cd943520b
hex11439e63951

1186382362961 has 2 divisors, whose sum is σ = 1186382362962. Its totient is φ = 1186382362960.

The previous prime is 1186382362843. The next prime is 1186382362969. The reversal of 1186382362961 is 1692632836811.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1095151785025 + 91230577936 = 1046495^2 + 302044^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1186382362961 is a prime.

It is a super-2 number, since 2×11863823629612 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1186382362897 and 1186382362906.

It is not a weakly prime, because it can be changed into another prime (1186382362969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 593191181480 + 593191181481.

It is an arithmetic number, because the mean of its divisors is an integer number (593191181481).

Almost surely, 21186382362961 is an apocalyptic number.

It is an amenable number.

1186382362961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1186382362961 is an equidigital number, since it uses as much as digits as its factorization.

1186382362961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4478976, while the sum is 56.

The spelling of 1186382362961 in words is "one trillion, one hundred eighty-six billion, three hundred eighty-two million, three hundred sixty-two thousand, nine hundred sixty-one".