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11041011131 = 17191912937
BaseRepresentation
bin10100100100001100…
…00111010110111011
31001111110121110221012
422102012013112323
5140102444324011
65023331104135
7540415021553
oct122206072673
931443543835
1011041011131
1147563aa097
12218174204b
13106c5864a7
1476a508163
15449490a8b
hex2921875bb

11041011131 has 24 divisors (see below), whose sum is σ = 12383738640. Its totient is φ = 9782622720.

The previous prime is 11041011101. The next prime is 11041011139. The reversal of 11041011131 is 13111014011.

It is a happy number.

11041011131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11041011131 - 210 = 11041010107 is a prime.

It is a super-2 number, since 2×110410111312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041011139) 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 in 23 ways as a sum of consecutive naturals, for example, 11782895 + ... + 11783831.

It is an arithmetic number, because the mean of its divisors is an integer number (515989110).

Almost surely, 211041011131 is an apocalyptic number.

11041011131 is a deficient number, since it is larger than the sum of its proper divisors (1342727509).

11041011131 is an equidigital number, since it uses as much as digits as its factorization.

11041011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11041011131 its reverse (13111014011), we get a palindrome (24152025142).

The spelling of 11041011131 in words is "eleven billion, forty-one million, eleven thousand, one hundred thirty-one".

Divisors: 1 17 19 191 323 937 3247 3629 15929 17803 36481 61693 178967 302651 620177 693139 3042439 3400373 11783363 34182697 57806341 581105849 649471243 11041011131