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11333133300330 = 234535381395453
BaseRepresentation
bin1010010011101011001101…
…1000100111001001101010
31111010102210112201202110000
42210322303120213021222
52441140224111102310
640034211454203430
72246535415415142
oct244726330471152
944112715652400
1011333133300330
11367a39a326146
12133052b4b3576
1364292c801cca
142b2752d07922
15149c02ab74c0
hexa4eb362726a

11333133300330 has 80 divisors (see below), whose sum is σ = 30474474566184. Its totient is φ = 3022075820160.

The previous prime is 11333133300197. The next prime is 11333133300341. The reversal of 11333133300330 is 3300333133311.

11333133300330 is a `hidden beast` number, since 1 + 13 + 3 + 3 + 13 + 3 + 300 + 330 = 666.

11333133300330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9048322689849 + 2284810610481 = 3008043^2 + 1511559^2 .

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 = 11333133300294 and 11333133300303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28460884 + ... + 28856336.

Almost surely, 211333133300330 is an apocalyptic number.

11333133300330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11333133300330 is an abundant number, since it is smaller than the sum of its proper divisors (19141341265854).

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

11333133300330 is a wasteful number, since it uses less digits than its factorization.

11333133300330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430853 (or 430844 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 11333133300330 its reverse (3300333133311), we get a palindrome (14633466433641).

The spelling of 11333133300330 in words is "eleven trillion, three hundred thirty-three billion, one hundred thirty-three million, three hundred 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 35381 70762 106143 176905 212286 318429 353810 395453 530715 636858 790906 955287 1061430 1186359 1592145 1910574 1977265 2372718 2865861 3184290 3559077 3954530 4776435 5731722 5931795 7118154 9552870 10677231 11863590 14329305 17795385 21354462 28658610 32031693 35590770 53386155 64063386 106772310 160158465 320316930 13991522593 27983045186 41974567779 69957612965 83949135558 125923703337 139915225930 209872838895 251847406674 377771110011 419745677790 629618516685 755542220022 1133313330033 1259237033370 1888855550055 2266626660066 3777711100110 5666566650165 11333133300330