Search a number
-
+
11331112033333 is a prime number
BaseRepresentation
bin1010010011100011101011…
…1010000101110000110101
31111010020120200100202101101
42210320322322011300311
52441122104140031313
640033235131330101
72246434343056351
oct244707272056065
944106520322341
1011331112033333
113679552383354
1213300665b0931
13642699b1c931
142b26006b4461
15149b354035dd
hexa4e3ae85c35

11331112033333 has 2 divisors, whose sum is σ = 11331112033334. Its totient is φ = 11331112033332.

The previous prime is 11331112033331. The next prime is 11331112033343. The reversal of 11331112033333 is 33333021113311.

11331112033333 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., 5889562092964 + 5441549940369 = 2426842^2 + 2332713^2 .

It is an emirp because it is prime and its reverse (33333021113311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11331112033333 - 21 = 11331112033331 is a prime.

Together with 11331112033331, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331112033331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665556016666 + 5665556016667.

It is an arithmetic number, because the mean of its divisors is an integer number (5665556016667).

Almost surely, 211331112033333 is an apocalyptic number.

It is an amenable number.

11331112033333 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331112033333 is an equidigital number, since it uses as much as digits as its factorization.

11331112033333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 11331112033333 its reverse (33333021113311), we get a palindrome (44664133146644).

The spelling of 11331112033333 in words is "eleven trillion, three hundred thirty-one billion, one hundred twelve million, thirty-three thousand, three hundred thirty-three".