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11040422310 = 234517378787
BaseRepresentation
bin10100100100000111…
…10111100110100110
31001111102111120020000
422102003313212212
5140102322003220
65023310322130
7540410020101
oct122203674646
931442446200
1011040422310
114756037765
1221814b9346
13106c40b488
1476a3d3738
154493c6390
hex2920f79a6

11040422310 has 80 divisors (see below), whose sum is σ = 29858445936. Its totient is φ = 2927057472.

The previous prime is 11040422297. The next prime is 11040422329. The reversal of 11040422310 is 1322404011.

11040422310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110404223102 (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100737 + ... + 179523.

Almost surely, 211040422310 is an apocalyptic number.

11040422310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040422310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929222968).

11040422310 is an abundant number, since it is smaller than the sum of its proper divisors (18818023626).

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

11040422310 is a wasteful number, since it uses less digits than its factorization.

11040422310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78979 (or 78970 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11040422310 its reverse (1322404011), we get a palindrome (12362826321).

The spelling of 11040422310 in words is "eleven billion, forty million, four hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 173 270 346 405 519 810 865 1038 1557 1730 2595 3114 4671 5190 7785 9342 14013 15570 23355 28026 46710 70065 78787 140130 157574 236361 393935 472722 709083 787870 1181805 1418166 2127249 2363610 3545415 4254498 6381747 7090830 10636245 12763494 13630151 21272490 27260302 31908735 40890453 63817470 68150755 81780906 122671359 136301510 204452265 245342718 368014077 408904530 613356795 736028154 1104042231 1226713590 1840070385 2208084462 3680140770 5520211155 11040422310