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11331130133124 = 22331759550710831
BaseRepresentation
bin1010010011100011101111…
…1111001000101010000100
31111010020121221102022122000
42210320323333020222010
52441122123303224444
640033241015305300
72246434652652414
oct244707377105204
944106557368560
1011331130133124
113679561615a5a
12133007067b230
136426a07b9179
142b2602c66644
15149b36ccb469
hexa4e3bfc8a84

11331130133124 has 96 divisors (see below), whose sum is σ = 29401756876800. Its totient is φ = 3773862174240.

The previous prime is 11331130133053. The next prime is 11331130133129. The reversal of 11331130133124 is 42133103113311.

11331130133124 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 1 + 301 + 331 + 24 = 666.

11331130133124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11331130133129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046170389 + ... + 1046181219.

It is an arithmetic number, because the mean of its divisors is an integer number (306268300800).

Almost surely, 211331130133124 is an apocalyptic number.

It is an amenable number.

11331130133124 is an abundant number, since it is smaller than the sum of its proper divisors (18070626743676).

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

11331130133124 is a wasteful number, since it uses less digits than its factorization.

11331130133124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18110 (or 18102 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 11331130133124 its reverse (42133103113311), we get a palindrome (53464233246435).

The spelling of 11331130133124 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, one hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1759 3518 5277 5507 7036 10554 10831 11014 15831 16521 21108 21662 22028 31662 32493 33042 43324 47493 49563 63324 64986 66084 94986 97479 99126 129972 148689 189972 194958 198252 292437 297378 389916 584874 594756 1169748 9686813 19051729 19373626 29060439 38103458 38747252 57155187 58120878 59646317 76206916 87181317 114310374 116241756 119292634 171465561 174362634 178938951 228620748 238585268 261543951 342931122 348725268 357877902 514396683 523087902 536816853 685862244 715755804 1028793366 1046175804 1073633706 1610450559 2057586732 2147267412 3220901118 6441802236 104917871603 209835743206 314753614809 419671486412 629507229618 944260844427 1259014459236 1888521688854 2832782533281 3777043377708 5665565066562 11331130133124