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11003300011 = 114194725763
BaseRepresentation
bin10100011111101100…
…10000100010101011
31001101211122120000001
422033312100202223
5140013321100021
65015502523431
7536446335604
oct121766204253
931354576001
1011003300011
114737092180
122170b96577
131064811712
147654ccdab
15445ee2091
hex28fd908ab

11003300011 has 16 divisors (see below), whose sum is σ = 12309833088. Its totient is φ = 9748340800.

The previous prime is 11003300003. The next prime is 11003300107. The reversal of 11003300011 is 11000330011.

11003300011 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 11003300011 - 23 = 11003300003 is a prime.

It is a super-2 number, since 2×110033000112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11003300111) 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 15 ways as a sum of consecutive naturals, for example, 414216 + ... + 439978.

It is an arithmetic number, because the mean of its divisors is an integer number (769364568).

Almost surely, 211003300011 is an apocalyptic number.

11003300011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11003300011 is a deficient number, since it is larger than the sum of its proper divisors (1306533077).

11003300011 is a wasteful number, since it uses less digits than its factorization.

11003300011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26762.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11003300011 its reverse (11000330011), we get a palindrome (22003630022).

The spelling of 11003300011 in words is "eleven billion, three million, three hundred thousand, eleven".

Divisors: 1 11 41 451 947 10417 25763 38827 283393 427097 1056283 11619113 24397561 268373171 1000300001 11003300011