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11343330030 = 23519613111049
BaseRepresentation
bin10101001000001110…
…10111101011101110
31002021112110212111110
422210013113223232
5141212343030110
65113330532450
7551045500014
oct124407275356
932245425443
1011343330030
1148a101781a
122246a37126
1310ba0b6906
147987228b4
15465caba20
hex2a41d7aee

11343330030 has 128 divisors (see below), whose sum is σ = 29248128000. Its totient is φ = 2806963200.

The previous prime is 11343330017. The next prime is 11343330107. The reversal of 11343330030 is 3003334311.

It is a super-2 number, since 2×113433300302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11343329979 and 11343330006.

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 63 ways as a sum of consecutive naturals, for example, 10812946 + ... + 10813994.

It is an arithmetic number, because the mean of its divisors is an integer number (228501000).

Almost surely, 211343330030 is an apocalyptic number.

11343330030 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 11343330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064000).

11343330030 is an abundant number, since it is smaller than the sum of its proper divisors (17904797970).

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

11343330030 is a wasteful number, since it uses less digits than its factorization.

11343330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 11343330030 its reverse (3003334311), we get a palindrome (14346664341).

The spelling of 11343330030 in words is "eleven billion, three hundred forty-three million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 61 95 114 122 183 190 285 305 311 366 570 610 622 915 933 1049 1159 1555 1830 1866 2098 2318 3110 3147 3477 4665 5245 5795 5909 6294 6954 9330 10490 11590 11818 15735 17385 17727 18971 19931 29545 31470 34770 35454 37942 39862 56913 59090 59793 63989 88635 94855 99655 113826 119586 127978 177270 189710 191967 199310 284565 298965 319945 326239 360449 383934 569130 597930 639890 652478 720898 959835 978717 1081347 1215791 1631195 1802245 1919670 1957434 2162694 2431582 3262390 3604490 3647373 4893585 5406735 6078955 6198541 7294746 9787170 10813470 12157910 12397082 18236865 18595623 19900579 30992705 36473730 37191246 39801158 59701737 61985410 92978115 99502895 119403474 185956230 199005790 298508685 378111001 597017370 756222002 1134333003 1890555005 2268666006 3781110010 5671665015 11343330030