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11201314104 = 2332473539377
BaseRepresentation
bin10100110111010011…
…00111110100111000
31001220122020201021100
422123221213310320
5140420014022404
65051255011400
7544402412301
oct123351476470
931818221240
1011201314104
114828939092
122207369b60
131096851b16
147839157a8
154585a7d39
hex29ba67d38

11201314104 has 96 divisors (see below), whose sum is σ = 31073440320. Its totient is φ = 3643588608.

The previous prime is 11201314073. The next prime is 11201314123. The reversal of 11201314104 is 40141310211.

11201314104 is a `hidden beast` number, since 1 + 120 + 131 + 410 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1189864 + ... + 1199240.

It is an arithmetic number, because the mean of its divisors is an integer number (323681670).

Almost surely, 211201314104 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 11201314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536720160).

11201314104 is an abundant number, since it is smaller than the sum of its proper divisors (19872126216).

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

11201314104 is a wasteful number, since it uses less digits than its factorization.

11201314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11201314104 its reverse (40141310211), we get a palindrome (51342624315).

The spelling of 11201314104 in words is "eleven billion, two hundred one million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 353 376 423 564 706 846 1059 1128 1412 1692 2118 2824 3177 3384 4236 6354 8472 9377 12708 16591 18754 25416 28131 33182 37508 49773 56262 66364 75016 84393 99546 112524 132728 149319 168786 199092 225048 298638 337572 398184 440719 597276 675144 881438 1194552 1322157 1762876 2644314 3310081 3525752 3966471 5288628 6620162 7932942 9930243 10577256 13240324 15865884 19860486 26480648 29790729 31731768 39720972 59581458 79441944 119162916 155573807 238325832 311147614 466721421 622295228 933442842 1244590456 1400164263 1866885684 2800328526 3733771368 5600657052 11201314104