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11221012231 = 111317231011987
BaseRepresentation
bin10100111001101001…
…10000111100000111
31001222000022111000121
422130310300330013
5140440034342411
65053241122411
7545032013242
oct123464607407
931860274017
1011221012231
114838a72630
122211a89407
13109a95aa10
147863a2259
1545a199571
hex29cd30f07

11221012231 has 64 divisors (see below), whose sum is σ = 14716670976. Its totient is φ = 8388864000.

The previous prime is 11221012223. The next prime is 11221012261. The reversal of 11221012231 is 13221012211.

11221012231 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 11221012231 - 23 = 11221012223 is a prime.

It is a super-2 number, since 2×112210122312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221012261) 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, 5646220 + ... + 5648206.

It is an arithmetic number, because the mean of its divisors is an integer number (229947984).

Almost surely, 211221012231 is an apocalyptic number.

11221012231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221012231 is a deficient number, since it is larger than the sum of its proper divisors (3495658745).

11221012231 is a wasteful number, since it uses less digits than its factorization.

11221012231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11221012231 its reverse (13221012211), we get a palindrome (24442024442).

The spelling of 11221012231 in words is "eleven billion, two hundred twenty-one million, twelve thousand, two hundred thirty-one".

Divisors: 1 11 13 17 23 101 143 187 221 253 299 391 1111 1313 1717 1987 2323 2431 3289 4301 5083 14443 18887 21857 22321 25553 25831 30199 33779 39491 45701 55913 200687 245531 284141 332189 371569 434401 439127 502711 513383 594113 776917 2207557 2608931 3411679 4615801 4830397 5647213 6535243 8546087 10099921 28698241 37528469 44351827 50773811 60005413 78468617 111099131 487870097 660059543 863154787 1020092021 11221012231