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11332221301332 = 22321694931857209
BaseRepresentation
bin1010010011100111110100…
…0001100111001001010100
31111010100102222122102000100
42210321331001213021110
52441131342123120312
640033541155014100
72246504002513011
oct244717501471124
944110388572010
1011332221301332
113679a71548868
121330315b9a330
13642815896c29
142b26a7b46708
15149b9c9ba5dc
hexa4e7d067254

11332221301332 has 36 divisors (see below), whose sum is σ = 28645521608340. Its totient is φ = 3777382780032.

The previous prime is 11332221301307. The next prime is 11332221301363. The reversal of 11332221301332 is 23310312223311.

11332221301332 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 2 + 21 + 301 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4165174847376 + 7167046453956 = 2040876^2 + 2677134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 11332221301296 and 11332221301305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5173144 + ... + 7030352.

It is an arithmetic number, because the mean of its divisors is an integer number (795708933565).

Almost surely, 211332221301332 is an apocalyptic number.

11332221301332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11332221301332 is an abundant number, since it is smaller than the sum of its proper divisors (17313300307008).

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

11332221301332 is a wasteful number, since it uses less digits than its factorization.

11332221301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026712 (or 2026707 counting only the distinct ones).

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

Adding to 11332221301332 its reverse (23310312223311), we get a palindrome (34642533524643).

The spelling of 11332221301332 in words is "eleven trillion, three hundred thirty-two billion, two hundred twenty-one million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 169493 338986 508479 677972 1016958 1525437 1857209 2033916 3050874 3714418 5571627 6101748 7428836 11143254 16714881 22286508 33429762 66859524 314783925037 629567850074 944351775111 1259135700148 1888703550222 2833055325333 3777407100444 5666110650666 11332221301332