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11135406243 = 3133183110969
BaseRepresentation
bin10100101111011100…
…01101000010100011
31001202001020020200110
422113232031002203
5140301130444433
65040542222403
7542642251143
oct122756150243
931661206613
1011135406243
1147a4712585
1221a9284a03
131085cb6aa0
14778c7a923
154528d9963
hex297b8d0a3

11135406243 has 32 divisors (see below), whose sum is σ = 16704092160. Its totient is φ = 6551550720.

The previous prime is 11135406229. The next prime is 11135406259. The reversal of 11135406243 is 34260453111.

11135406243 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 11135406243 - 212 = 11135402147 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11135406243.

It is not an unprimeable number, because it can be changed into a prime (11135406263) 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 31 ways as a sum of consecutive naturals, for example, 44863 + ... + 155831.

It is an arithmetic number, because the mean of its divisors is an integer number (522002880).

Almost surely, 211135406243 is an apocalyptic number.

11135406243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11135406243 is a deficient number, since it is larger than the sum of its proper divisors (5568685917).

11135406243 is a wasteful number, since it uses less digits than its factorization.

11135406243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111099.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 11135406243 its reverse (34260453111), we get a palindrome (45395859354).

The spelling of 11135406243 in words is "eleven billion, one hundred thirty-five million, four hundred six thousand, two hundred forty-three".

Divisors: 1 3 13 31 39 83 93 249 403 1079 1209 2573 3237 7719 33449 100347 110969 332907 1442597 3440039 4327791 9210427 10320117 27631281 44720507 119735551 134161521 285523237 359206653 856569711 3711802081 11135406243