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11330203200138 = 23210719133075151
BaseRepresentation
bin1010010011100000010010…
…1111001010101010001010
31111010011020100020020121200
42210320010233022222022
52441113224004401023
640033005024045030
72246402666111034
oct244700457125212
944104210206550
1011330203200138
113679126368539
12132ba52163776
13642583752804
142b2555ad8c54
15149ad072e743
hexa4e04bcaa8a

11330203200138 has 48 divisors (see below), whose sum is σ = 24791161988736. Its totient is φ = 3739480804800.

The previous prime is 11330203200103. The next prime is 11330203200139. The reversal of 11330203200138 is 83100230203311.

11330203200138 is a `hidden beast` number, since 1 + 1 + 3 + 302 + 0 + 320 + 0 + 1 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (11330203200139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2146863 + ... + 5222013.

It is an arithmetic number, because the mean of its divisors is an integer number (516482541432).

Almost surely, 211330203200138 is an apocalyptic number.

11330203200138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11330203200138 is an abundant number, since it is smaller than the sum of its proper divisors (13460958788598).

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

11330203200138 is a wasteful number, since it uses less digits than its factorization.

11330203200138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077179 (or 3077176 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11330203200138 its reverse (83100230203311), we get a palindrome (94430433403449).

The spelling of 11330203200138 in words is "eleven trillion, three hundred thirty billion, two hundred three million, two hundred thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1913 1926 3826 5739 11478 17217 34434 204691 409382 614073 1228146 1842219 3075151 3684438 6150302 9225453 18450906 27676359 55352718 329041157 658082314 987123471 1974246942 2961370413 5882763863 5922740826 11765527726 17648291589 35296583178 52944874767 105889749534 629455733341 1258911466682 1888367200023 3776734400046 5665101600069 11330203200138