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11240115133 = 132192296353
BaseRepresentation
bin10100111011111011…
…01000101110111101
31002000100021000021111
422131331220232331
5141004432141013
65055202402021
7545353254652
oct123575505675
932010230244
1011240115133
11484882a955
122218360311
1310a18b8a00
14788b35c29
1545bbbe73d
hex29df68bbd

11240115133 has 36 divisors (see below), whose sum is σ = 13290598260. Its totient is φ = 9488973312.

The previous prime is 11240115127. The next prime is 11240115149. The reversal of 11240115133 is 33151104211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1695215929 + 9544899204 = 41173^2 + 97698^2 .

It is a de Polignac number, because none of the positive numbers 2k-11240115133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240115113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1766085 + ... + 1772437.

It is an arithmetic number, because the mean of its divisors is an integer number (369183285).

Almost surely, 211240115133 is an apocalyptic number.

11240115133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11240115133 is a deficient number, since it is larger than the sum of its proper divisors (2050483127).

11240115133 is a wasteful number, since it uses less digits than its factorization.

11240115133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 11240115133 its reverse (33151104211), we get a palindrome (44391219344).

The spelling of 11240115133 in words is "eleven billion, two hundred forty million, one hundred fifteen thousand, one hundred thirty-three".

Divisors: 1 13 19 29 169 247 361 377 551 3211 4693 4901 6353 7163 10469 61009 82589 93119 120707 136097 184237 1073657 1569191 1769261 2293433 2395081 3500503 20399483 29814629 31136053 45506539 66509557 387590177 591585007 864624241 11240115133