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11123122131 = 32114710323209
BaseRepresentation
bin10100101101111110…
…10101111111010011
31001201012010011001100
422112333111333103
5140240004402011
65035423035443
7542432656332
oct122677257723
931635104040
1011123122131
114798792320
1221a513bb83
1310835a5694
1477739dd19
154517aed56
hex296fd5fd3

11123122131 has 48 divisors (see below), whose sum is σ = 18074833920. Its totient is φ = 6533516160.

The previous prime is 11123122039. The next prime is 11123122141. The reversal of 11123122131 is 13122132111.

It is not a de Polignac number, because 11123122131 - 217 = 11122991059 is a prime.

It is a super-2 number, since 2×111231221312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11123122141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467655 + ... + 490863.

It is an arithmetic number, because the mean of its divisors is an integer number (376559040).

Almost surely, 211123122131 is an apocalyptic number.

11123122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11123122131 is a deficient number, since it is larger than the sum of its proper divisors (6951711789).

11123122131 is a wasteful number, since it uses less digits than its factorization.

11123122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23376 (or 23373 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11123122131 its reverse (13122132111), we get a palindrome (24245254242).

The spelling of 11123122131 in words is "eleven billion, one hundred twenty-three million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 47 99 103 141 309 423 517 927 1133 1551 3399 4653 4841 10197 14523 23209 43569 53251 69627 159753 208881 255299 479259 765897 1090823 2297691 2390527 3272469 7171581 9817407 11999053 21514743 26295797 35997159 78887391 107991477 112354769 236662173 337064307 1011192921 1235902459 3707707377 11123122131