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11033114403330 = 234521536326581
BaseRepresentation
bin1010000010001101100011…
…0111010110001000000010
31110001202101201020122220000
42200203120313112020002
52421231304241401310
635244313124100430
72216054601026265
oct240433067261002
943052351218800
1011033114403330
1135741324a2298
1212a235b834716
13620558ab8056
142a2011486cdc
15141ee39244c0
hexa08d8dd6202

11033114403330 has 80 divisors (see below), whose sum is σ = 29680602713784. Its totient is φ = 2940796834560.

The previous prime is 11033114403323. The next prime is 11033114403343. The reversal of 11033114403330 is 3330441133011.

11033114403330 is a `hidden beast` number, since 1 + 10 + 3 + 311 + 4 + 4 + 0 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3730618853361 + 7302495549969 = 1931481^2 + 2702313^2 .

It is a super-2 number, since 2×110331144033302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11033114403294 and 11033114403303.

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, 1419361 + ... + 4907220.

Almost surely, 211033114403330 is an apocalyptic number.

11033114403330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11033114403330 is an abundant number, since it is smaller than the sum of its proper divisors (18647488310454).

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

11033114403330 is a wasteful number, since it uses less digits than its factorization.

11033114403330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328753 (or 6328744 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11033114403330 its reverse (3330441133011), we get a palindrome (14363555536341).

The spelling of 11033114403330 in words is "eleven trillion, thirty-three billion, one hundred fourteen million, four hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2153 4306 6459 10765 12918 19377 21530 32295 38754 58131 64590 96885 116262 174393 193770 290655 348786 581310 871965 1743930 6326581 12653162 18979743 31632905 37959486 56939229 63265810 94898715 113878458 170817687 189797430 284696145 341635374 512453061 569392290 854088435 1024906122 1708176870 2562265305 5124530610 13621128893 27242257786 40863386679 68105644465 81726773358 122590160037 136211288930 204316933395 245180320074 367770480111 408633866790 612950800185 735540960222 1103311440333 1225901600370 1838852400555 2206622880666 3677704801110 5516557201665 11033114403330