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11034310311 = 3229379911153
BaseRepresentation
bin10100100011011001…
…00011011010100111
31001111000000001010200
422101230203122213
5140044240412221
65022531321543
7540304042623
oct122154433247
931430001120
1011034310311
114752642722
12217b4502b3
13106b07b4cb
14769682183
15448aba426
hex291b236a7

11034310311 has 48 divisors (see below), whose sum is σ = 16965461760. Its totient is φ = 6897623040.

The previous prime is 11034310289. The next prime is 11034310327. The reversal of 11034310311 is 11301343011.

11034310311 is a `hidden beast` number, since 1 + 1 + 0 + 343 + 10 + 311 = 666.

11034310311 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 11034310311 - 213 = 11034302119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034314311) 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 47 ways as a sum of consecutive naturals, for example, 9569511 + ... + 9570663.

It is an arithmetic number, because the mean of its divisors is an integer number (353447120).

Almost surely, 211034310311 is an apocalyptic number.

11034310311 is a deficient number, since it is larger than the sum of its proper divisors (5931151449).

11034310311 is a wasteful number, since it uses less digits than its factorization.

11034310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11034310311 its reverse (11301343011), we get a palindrome (22335653322).

The spelling of 11034310311 in words is "eleven billion, thirty-four million, three hundred ten thousand, three hundred eleven".

Divisors: 1 3 9 29 37 87 111 261 333 991 1073 1153 2973 3219 3459 8919 9657 10377 28739 33437 36667 42661 86217 100311 110001 127983 258651 300933 330003 383949 1063343 1142623 1237169 3190029 3427869 3711507 9570087 10283607 11134521 33136067 42277051 99408201 126831153 298224603 380493459 1226034479 3678103437 11034310311