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11332220011312 = 2417417912862789
BaseRepresentation
bin1010010011100111110011…
…1100101100001100110000
31111010100102220012212102211
42210321330330230030300
52441131341310330222
640033541111221504
72246503655531014
oct244717474541460
944110386185384
1011332220011312
113679a70847632
121330315677894
136428155349c5
142b26a78cc544
15149b9c813277
hexa4e7cf2c330

11332220011312 has 80 divisors (see below), whose sum is σ = 24116187715200. Its totient is φ = 5136883015680.

The previous prime is 11332220011219. The next prime is 11332220011339. The reversal of 11332220011312 is 21311002223311.

11332220011312 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 2×113322200113122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5550387 + ... + 7312402.

It is an arithmetic number, because the mean of its divisors is an integer number (301452346440).

Almost surely, 211332220011312 is an apocalyptic number.

It is an amenable number.

11332220011312 is an abundant number, since it is smaller than the sum of its proper divisors (12783967703888).

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

11332220011312 is a wasteful number, since it uses less digits than its factorization.

11332220011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12862934 (or 12862928 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11332220011312 its reverse (21311002223311), we get a palindrome (32643222234623).

The spelling of 11332220011312 in words is "eleven trillion, three hundred thirty-two billion, two hundred twenty million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 41 68 79 82 136 158 164 272 316 328 632 656 697 1264 1343 1394 2686 2788 3239 5372 5576 6478 10744 11152 12956 21488 25912 51824 55063 110126 220252 440504 881008 12862789 25725578 51451156 102902312 205804624 218667413 437334826 527374349 874669652 1016160331 1054748698 1749339304 2032320662 2109497396 3498678608 4064641324 4218994792 8129282648 8437989584 8965363933 16258565296 17274725627 17930727866 34549451254 35861455732 41662573571 69098902508 71722911464 83325147142 138197805016 143445822928 166650294284 276395610032 333300588568 666601177136 708263750707 1416527501414 2833055002828 5666110005656 11332220011312