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11111221011 = 31173131137257
BaseRepresentation
bin10100101100100011…
…11100011100010011
31001200100201111210010
422112101330130103
5140223433033021
65034320010003
7542226551232
oct122621743423
931610644703
1011111221011
114791aa3890
1221a1160903
131080c996b7
14775982b19
1545070d976
hex29647c713

11111221011 has 64 divisors (see below), whose sum is σ = 16693433856. Its totient is φ = 6517555200.

The previous prime is 11111221007. The next prime is 11111221013. The reversal of 11111221011 is 11012211111.

11111221011 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 11111221011 - 22 = 11111221007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11111221013) 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, 43234195 + ... + 43234451.

It is an arithmetic number, because the mean of its divisors is an integer number (260834904).

Almost surely, 211111221011 is an apocalyptic number.

11111221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11111221011 is a deficient number, since it is larger than the sum of its proper divisors (5582212845).

11111221011 is a wasteful number, since it uses less digits than its factorization.

11111221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111221011 its reverse (11012211111), we get a palindrome (22123432122).

The spelling of 11111221011 in words is "eleven billion, one hundred eleven million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 11 33 73 131 137 219 257 393 411 771 803 1441 1507 2409 2827 4323 4521 8481 9563 10001 17947 18761 28689 30003 33667 35209 53841 56283 101001 105193 105627 110011 197417 206371 315579 330033 370337 387299 592251 619113 1111011 1161897 1310131 2457691 2570257 3930393 4612379 7373073 7710771 13837137 14411441 27034601 28272827 43234323 50736169 81103803 84818481 152208507 336703667 1010111001 3703740337 11111221011