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11041421208 = 23319191331383
BaseRepresentation
bin10100100100001111…
…01011011110011000
31001111111101022110020
422102013223132120
5140103100434313
65023343550440
7540421350246
oct122207533630
931444338406
1011041421208
11475665a1a4
1221818bb420
13106c69b03c
1476a5b3796
15449522323
hex2921eb798

11041421208 has 128 divisors (see below), whose sum is σ = 29373235200. Its totient is φ = 3449001600.

The previous prime is 11041421207. The next prime is 11041421213. The reversal of 11041421208 is 80212414011.

11041421208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041421201) 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 31 ways as a sum of consecutive naturals, for example, 28828585 + ... + 28828967.

It is an arithmetic number, because the mean of its divisors is an integer number (229478400).

Almost surely, 211041421208 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 11041421208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14686617600).

11041421208 is an abundant number, since it is smaller than the sum of its proper divisors (18331813992).

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

11041421208 is a wasteful number, since it uses less digits than its factorization.

11041421208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 11041421208 its reverse (80212414011), we get a palindrome (91253835219).

The spelling of 11041421208 in words is "eleven billion, forty-one million, four hundred twenty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 191 228 331 382 383 456 573 662 764 766 993 1146 1149 1324 1528 1532 1986 2292 2298 2648 3064 3629 3972 4584 4596 6289 7258 7277 7944 9192 10887 12578 14516 14554 18867 21774 21831 25156 29032 29108 37734 43548 43662 50312 58216 63221 73153 75468 87096 87324 126442 126773 146306 150936 174648 189663 219459 252884 253546 292612 379326 380319 438918 505768 507092 585224 758652 760638 877836 1014184 1201199 1389907 1517304 1521276 1755672 2402398 2408687 2779814 3042552 3603597 4169721 4804796 4817374 5559628 7207194 7226061 8339442 9609592 9634748 11119256 14414388 14452122 16678884 19269496 24213643 28828776 28904244 33357768 48427286 57808488 72640929 96854572 145281858 193709144 290563716 460059217 581127432 920118434 1380177651 1840236868 2760355302 3680473736 5520710604 11041421208