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11221231440 = 2435108743013
BaseRepresentation
bin10100111001101011…
…00110011101010000
31001222000201121201110
422130311212131100
5140440113401230
65053245533320
7545033615316
oct123465463520
931860647643
1011221231440
1148391022a1
122211b74240
13109aa06723
1478641c0b6
1545a1de4b0
hex29cd66750

11221231440 has 80 divisors (see below), whose sum is σ = 34818628608. Its totient is φ = 2989506048.

The previous prime is 11221231433. The next prime is 11221231457. The reversal of 11221231440 is 4413212211.

11221231440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 239374 + ... + 282386.

Almost surely, 211221231440 is an apocalyptic number.

11221231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221231440 is an abundant number, since it is smaller than the sum of its proper divisors (23597397168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11221231440 is a wasteful number, since it uses less digits than its factorization.

11221231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44116 (or 44110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11221231440 its reverse (4413212211), we get a palindrome (15634443651).

The spelling of 11221231440 in words is "eleven billion, two hundred twenty-one million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1087 2174 3261 4348 5435 6522 8696 10870 13044 16305 17392 21740 26088 32610 43013 43480 52176 65220 86026 86960 129039 130440 172052 215065 258078 260880 344104 430130 516156 645195 688208 860260 1032312 1290390 1720520 2064624 2580780 3441040 5161560 10323120 46755131 93510262 140265393 187020524 233775655 280530786 374041048 467551310 561061572 701326965 748082096 935102620 1122123144 1402653930 1870205240 2244246288 2805307860 3740410480 5610615720 11221231440