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11335134213 = 32132910930649
BaseRepresentation
bin10101000111010000…
…00110110000000101
31002020222001110221200
422203220012300011
5141203243243323
65112435133113
7550616023344
oct124350066005
932228043850
1011335134213
11489742a117
122244144199
1310b84a7310
147975cbb5b
154651dd443
hex2a3a06c05

11335134213 has 48 divisors (see below), whose sum is σ = 18408390000. Its totient is φ = 6672927744.

The previous prime is 11335134197. The next prime is 11335134227. The reversal of 11335134213 is 31243153311.

11335134213 is a `hidden beast` number, since 1 + 133 + 513 + 4 + 2 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1766773089 + 9568361124 = 42033^2 + 97818^2 .

It is not a de Polignac number, because 11335134213 - 24 = 11335134197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11335134313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354513 + ... + 385161.

It is an arithmetic number, because the mean of its divisors is an integer number (383508125).

Almost surely, 211335134213 is an apocalyptic number.

11335134213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11335134213 is a deficient number, since it is larger than the sum of its proper divisors (7073255787).

11335134213 is a wasteful number, since it uses less digits than its factorization.

11335134213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30806 (or 30803 counting only the distinct ones).

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

Adding to 11335134213 its reverse (31243153311), we get a palindrome (42578287524).

The spelling of 11335134213 in words is "eleven billion, three hundred thirty-five million, one hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 3 9 13 29 39 87 109 117 261 327 377 981 1131 1417 3161 3393 4251 9483 12753 28449 30649 41093 91947 123279 275841 369837 398437 888821 1195311 2666463 3340741 3585933 7999389 10022223 11554673 30066669 34664019 43429633 96881489 103992057 130288899 290644467 390866697 871933401 1259459357 3778378071 11335134213