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11330331112188 = 22331161315558427
BaseRepresentation
bin1010010011100000110001…
…0111000111001011111100
31111010011120020220211222000
42210320030113013023330
52441114004231042223
640033025433422300
72246406111254334
oct244701427071374
944104506824860
1011330331112188
113679191593780
12132ba88b6a990
136425a40b9b0a
142b2568ab40c4
15149adba99543
hexa4e0c5c72fc

11330331112188 has 96 divisors (see below), whose sum is σ = 32097659301120. Its totient is φ = 3427832416320.

The previous prime is 11330331112187. The next prime is 11330331112223. The reversal of 11330331112188 is 88121113303311.

11330331112188 is a `hidden beast` number, since 1 + 1 + 3 + 30 + 331 + 112 + 188 = 666.

11330331112188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113303311121882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330331112187) 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, 7050970 + ... + 8507457.

It is an arithmetic number, because the mean of its divisors is an integer number (334350617720).

Almost surely, 211330331112188 is an apocalyptic number.

11330331112188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11330331112188 is an abundant number, since it is smaller than the sum of its proper divisors (20767328188932).

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

11330331112188 is a wasteful number, since it uses less digits than its factorization.

11330331112188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15559064 (or 15559056 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 11330331112188 its reverse (88121113303311), we get a palindrome (99451444415499).

The spelling of 11330331112188 in words is "eleven trillion, three hundred thirty billion, three hundred thirty-one million, one hundred twelve thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 613 1188 1226 1839 2452 3678 5517 6743 7356 11034 13486 16551 20229 22068 26972 33102 40458 60687 66204 80916 121374 182061 242748 364122 728244 15558427 31116854 46675281 62233708 93350562 140025843 171142697 186701124 280051686 342285394 420077529 513428091 560103372 684570788 840155058 1026856182 1540284273 1680310116 2053712364 3080568546 4620852819 6161137092 9241705638 9537315751 18483411276 19074631502 28611947253 38149263004 57223894506 85835841759 104910473261 114447789012 171671683518 209820946522 257507525277 314731419783 343343367036 419641893044 515015050554 629462839566 944194259349 1030030101108 1258925679132 1888388518698 2832582778047 3776777037396 5665165556094 11330331112188