Search a number
-
+
11133001031 is a prime number
BaseRepresentation
bin10100101111001010…
…00001110101000111
31001201212201001100112
422113211001311013
5140300022013111
65040414503235
7542612642645
oct122745016507
931655631315
1011133001031
1147a331a4a9
1221a8504b1b
131085654099
14778812195
154525b1e8b
hex297941d47

11133001031 has 2 divisors, whose sum is σ = 11133001032. Its totient is φ = 11133001030.

The previous prime is 11133000979. The next prime is 11133001039. The reversal of 11133001031 is 13010033111.

It is a happy number.

11133001031 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 is an emirp because it is prime and its reverse (13010033111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11133001031 is a prime.

It is a super-2 number, since 2×111330010312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11133000997 and 11133001015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11133001039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5566500515 + 5566500516.

It is an arithmetic number, because the mean of its divisors is an integer number (5566500516).

Almost surely, 211133001031 is an apocalyptic number.

11133001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

11133001031 is an equidigital number, since it uses as much as digits as its factorization.

11133001031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 11133001031 its reverse (13010033111), we get a palindrome (24143034142).

The spelling of 11133001031 in words is "eleven billion, one hundred thirty-three million, one thousand, thirty-one".