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11332213123032 = 23325324371218571
BaseRepresentation
bin1010010011100111110010…
…0010011010011111011000
31111010100102102020220111100
42210321330202122133120
52441131333024414112
640033540303431400
72246503543141404
oct244717442323730
944110372226440
1011332213123032
113679a6797233a
1213303132b5560
13642813c925b9
142b26a6a18104
15149b9be022dc
hexa4e7c89a7d8

11332213123032 has 96 divisors (see below), whose sum is σ = 31283350984080. Its totient is φ = 3704608776960.

The previous prime is 11332213123009. The next prime is 11332213123093. The reversal of 11332213123032 is 23032131223311.

11332213123032 is a `hidden beast` number, since 1 + 1 + 3 + 322 + 1 + 31 + 2 + 303 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11332213122987 and 11332213123005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8690307 + ... + 9908877.

Almost surely, 211332213123032 is an apocalyptic number.

11332213123032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332213123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641675492040).

11332213123032 is an abundant number, since it is smaller than the sum of its proper divisors (19951137861048).

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

11332213123032 is a wasteful number, since it uses less digits than its factorization.

11332213123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221073 (or 1221066 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11332213123032 its reverse (23032131223311), we get a palindrome (34364344346343).

The spelling of 11332213123032 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirteen million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 2437 3816 4874 7311 9748 14622 19496 21933 29244 43866 58488 87732 129161 175464 258322 387483 516644 774966 1033288 1162449 1218571 1549932 2324898 2437142 3099864 3655713 4649796 4874284 7311426 9299592 9748568 10967139 14622852 21934278 29245704 43868556 64584263 87737112 129168526 193752789 258337052 387505578 516674104 581258367 775011156 1162516734 1550022312 2325033468 2969657527 4650066936 5939315054 8908972581 11878630108 17817945162 23757260216 26726917743 35635890324 53453835486 71271780648 106907670972 157391848931 213815341944 314783697862 472175546793 629567395724 944351093586 1259134791448 1416526640379 1888702187172 2833053280758 3777404374344 5666106561516 11332213123032