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11333431104 = 263471498429
BaseRepresentation
bin10101000111000011…
…00110111101000000
31002020211211221201120
422203201212331000
5141202324243404
65112334432240
7550565401122
oct124341467500
932224757646
1011333431104
114896476596
122243662680
1310b802c068
147972a7212
15464ea39d9
hex2a3866f40

11333431104 has 112 divisors (see below), whose sum is σ = 30833568000. Its totient is φ = 3672180736.

The previous prime is 11333431091. The next prime is 11333431111. The reversal of 11333431104 is 40113433311.

It is a super-2 number, since 2×113334311042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1340362 + ... + 1348790.

Almost surely, 211333431104 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 11333431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416784000).

11333431104 is an abundant number, since it is smaller than the sum of its proper divisors (19500136896).

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

11333431104 is a wasteful number, since it uses less digits than its factorization.

11333431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8640 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11333431104 its reverse (40113433311), we get a palindrome (51446864415).

The spelling of 11333431104 in words is "eleven billion, three hundred thirty-three million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 149 188 192 282 298 376 447 564 596 752 894 1128 1192 1504 1788 2256 2384 3008 3576 4512 4768 7003 7152 8429 9024 9536 14006 14304 16858 21009 25287 28012 28608 33716 42018 50574 56024 67432 84036 101148 112048 134864 168072 202296 224096 269728 336144 396163 404592 448192 539456 672288 792326 809184 1188489 1255921 1344576 1584652 1618368 2376978 2511842 3169304 3767763 4753956 5023684 6338608 7535526 9507912 10047368 12677216 15071052 19015824 20094736 25354432 30142104 38031648 40189472 59028287 60284208 76063296 80378944 118056574 120568416 177084861 236113148 241136832 354169722 472226296 708339444 944452592 1416678888 1888905184 2833357776 3777810368 5666715552 11333431104