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11130012333 = 33113317977
BaseRepresentation
bin10100101110110011…
…01000001010101101
31001201200002012122000
422113121220022231
5140243240343313
65040230442513
7542545354356
oct122731501255
931650065560
1011130012333
1147a1669000
1221a7503439
131084b4891b
14778274d2d
154521c1673
hex2976682ad

11130012333 has 64 divisors (see below), whose sum is σ = 18212394240. Its totient is φ = 6717300480.

The previous prime is 11130012323. The next prime is 11130012389. The reversal of 11130012333 is 33321003111.

It is a happy number.

11130012333 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 11130012333 - 25 = 11130012301 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 (11130012323) 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 63 ways as a sum of consecutive naturals, for example, 11391541 + ... + 11392517.

It is an arithmetic number, because the mean of its divisors is an integer number (284568660).

Almost surely, 211130012333 is an apocalyptic number.

It is an amenable number.

11130012333 is a deficient number, since it is larger than the sum of its proper divisors (7082381907).

11130012333 is an equidigital number, since it uses as much as digits as its factorization.

11130012333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11130012333 its reverse (33321003111), we get a palindrome (44451015444).

The spelling of 11130012333 in words is "eleven billion, one hundred thirty million, twelve thousand, three hundred thirty-three".

Divisors: 1 3 9 11 27 33 99 121 297 317 363 951 977 1089 1331 2853 2931 3267 3487 3993 8559 8793 10461 10747 11979 26379 31383 32241 35937 38357 94149 96723 115071 118217 290169 309709 345213 354651 421927 929127 1035639 1063953 1265781 1300387 2787381 3191859 3406799 3797343 3901161 8362143 10220397 11392029 11703483 30661191 35110449 37474789 91983573 112424367 337273101 412222679 1011819303 1236668037 3710004111 11130012333