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11332415133 = 3313178918047
BaseRepresentation
bin10101000110111011…
…01110111010011101
31002020202221100002000
422203131232322131
5141202044241013
65112300552513
7550553640114
oct124335567235
932222840060
1011332415133
114895942246
122243252739
1310b7a647b0
147970c0c7b
15464d52973
hex2a376ee9d

11332415133 has 32 divisors (see below), whose sum is σ = 18091315200. Its totient is φ = 6969509568.

The previous prime is 11332415131. The next prime is 11332415189. The reversal of 11332415133 is 33151423311.

11332415133 is a `hidden beast` number, since 113 + 3 + 2 + 415 + 133 = 666.

It is not a de Polignac number, because 11332415133 - 21 = 11332415131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11332415097 and 11332415106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332415131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618916 + ... + 636962.

It is an arithmetic number, because the mean of its divisors is an integer number (565353600).

Almost surely, 211332415133 is an apocalyptic number.

11332415133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11332415133 is a deficient number, since it is larger than the sum of its proper divisors (6758900067).

11332415133 is a wasteful number, since it uses less digits than its factorization.

11332415133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19858 (or 19852 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

Adding to 11332415133 its reverse (33151423311), we get a palindrome (44483838444).

The spelling of 11332415133 in words is "eleven billion, three hundred thirty-two million, four hundred fifteen thousand, one hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 1789 5367 16101 18047 23257 48303 54141 69771 162423 209313 234611 487269 627939 703833 2111499 6334497 32286083 96858249 290574747 419719079 871724241 1259157237 3777471711 11332415133