Search a number
-
+
11331030033121 is a prime number
BaseRepresentation
bin1010010011100011011000…
…0001010010001011100001
31111010020100222001201020111
42210320312001102023201
52441121422142024441
640033223042011321
72246432326062601
oct244706601221341
944106328051214
1011331030033121
113679510066387
121330043046b41
13642685b3bcb6
142b25d384ac01
15149b2d107081
hexa4e360522e1

11331030033121 has 2 divisors, whose sum is σ = 11331030033122. Its totient is φ = 11331030033120.

The previous prime is 11331030033049. The next prime is 11331030033161. The reversal of 11331030033121 is 12133003013311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10485706090896 + 845323942225 = 3238164^2 + 919415^2 .

It is an emirp because it is prime and its reverse (12133003013311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11331030033121 is a prime.

It is a super-2 number, since 2×113310300331212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11331030033092 and 11331030033101.

It is not a weakly prime, because it can be changed into another prime (11331030033161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665515016560 + 5665515016561.

It is an arithmetic number, because the mean of its divisors is an integer number (5665515016561).

Almost surely, 211331030033121 is an apocalyptic number.

It is an amenable number.

11331030033121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331030033121 is an equidigital number, since it uses as much as digits as its factorization.

11331030033121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 11331030033121 its reverse (12133003013311), we get a palindrome (23464033046432).

The spelling of 11331030033121 in words is "eleven trillion, three hundred thirty-one billion, thirty million, thirty-three thousand, one hundred twenty-one".