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1223110113156 = 2232235959342221
BaseRepresentation
bin10001110011000111000…
…010110011011110000100
311022221001122110111102100
4101303013002303132010
5130014412142110111
62333520010312100
7154236544265151
oct21630702633604
94287048414370
101223110113156
11431799855168
12179069128630
138b45341b889
14432ad8bb228
1521c389eb756
hex11cc70b3784

1223110113156 has 144 divisors (see below), whose sum is σ = 3286465902720. Its totient is φ = 382711802880.

The previous prime is 1223110113131. The next prime is 1223110113187. The reversal of 1223110113156 is 6513110113221.

1223110113156 is a `hidden beast` number, since 1 + 22 + 311 + 0 + 11 + 315 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28948126 + ... + 28990346.

It is an arithmetic number, because the mean of its divisors is an integer number (22822679880).

Almost surely, 21223110113156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223110113156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643232951360).

1223110113156 is an abundant number, since it is smaller than the sum of its proper divisors (2063355789564).

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

1223110113156 is a wasteful number, since it uses less digits than its factorization.

1223110113156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42906 (or 42901 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 1223110113156 its reverse (6513110113221), we get a palindrome (7736220226377).

The spelling of 1223110113156 in words is "one trillion, two hundred twenty-three billion, one hundred ten million, one hundred thirteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 92 118 138 177 207 236 276 354 414 531 593 708 828 1062 1186 1357 1779 2124 2372 2714 3558 4071 5337 5428 7116 8142 10674 12213 13639 16284 21348 24426 27278 34987 40917 42221 48852 54556 69974 81834 84442 104961 122751 126663 139948 163668 168884 209922 245502 253326 314883 379989 419844 491004 506652 629766 759978 804701 971083 1259532 1519956 1609402 1942166 2414103 2491039 2913249 3218804 3884332 4828206 4982078 5826498 7242309 7473117 8739747 9656412 9964156 11652996 14484618 14946234 17479494 22419351 25037053 28969236 29892468 34958988 44838702 50074106 57293897 75111159 89677404 100148212 114587794 150222318 171881691 225333477 229175588 300444636 343763382 450666954 515645073 575852219 687526764 901333908 1031290146 1151704438 1477186127 1727556657 2062580292 2303408876 2954372254 3455113314 4431558381 5182669971 5908744508 6910226628 8863116762 10365339942 13294675143 17726233524 20730679884 26589350286 33975280921 53178700572 67950561842 101925842763 135901123684 203851685526 305777528289 407703371052 611555056578 1223110113156