Search a number
-
+
11331023000369 is a prime number
BaseRepresentation
bin1010010011100011010110…
…0110011101001100110001
31111010020100110211102010012
42210320311212131030301
52441121413342002434
640033222231144305
72246432212232132
oct244706546351461
944106313742105
1011331023000369
1136795070a2596
121330040815095
13642684548bc7
142b25d2939c89
15149b2c6b83ce
hexa4e3599d331

11331023000369 has 2 divisors, whose sum is σ = 11331023000370. Its totient is φ = 11331023000368.

The previous prime is 11331023000351. The next prime is 11331023000471. The reversal of 11331023000369 is 96300032013311.

11331023000369 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., 8449992030769 + 2881030969600 = 2906887^2 + 1697360^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331023000369 - 28 = 11331023000113 is a prime.

It is a super-2 number, since 2×113310230003692 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11331023008369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665511500184 + 5665511500185.

It is an arithmetic number, because the mean of its divisors is an integer number (5665511500185).

Almost surely, 211331023000369 is an apocalyptic number.

It is an amenable number.

11331023000369 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331023000369 is an equidigital number, since it uses as much as digits as its factorization.

11331023000369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 11331023000369 in words is "eleven trillion, three hundred thirty-one billion, twenty-three million, three hundred sixty-nine", and thus it is an aban number.