Search a number
-
+
11331132002821 is a prime number
BaseRepresentation
bin1010010011100011110000…
…0110010001001000000101
31111010020122001221022101001
42210320330012101020011
52441122124243042241
640033241123333301
72246435004600421
oct244707406211005
944106561838331
1011331132002821
113679562682764
121330071221231
136426a0cc21b7
142b26031d1b81
15149b3704a431
hexa4e3c191205

11331132002821 has 2 divisors, whose sum is σ = 11331132002822. Its totient is φ = 11331132002820.

The previous prime is 11331132002807. The next prime is 11331132002833. The reversal of 11331132002821 is 12820023113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8490457717921 + 2840674284900 = 2913839^2 + 1685430^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11331132002821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11331132002821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331132002521) 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, 5665566001410 + 5665566001411.

It is an arithmetic number, because the mean of its divisors is an integer number (5665566001411).

Almost surely, 211331132002821 is an apocalyptic number.

It is an amenable number.

11331132002821 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331132002821 is an equidigital number, since it uses as much as digits as its factorization.

11331132002821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 11331132002821 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, two thousand, eight hundred twenty-one".