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11552012220132 = 22321718875836961
BaseRepresentation
bin1010100000011010100110…
…0101011011011011100100
31111220100202121000221021100
42220012221211123123210
53003232010112021012
640322530545120100
72301414426504516
oct250065145333344
944810677027240
1011552012220132
1137541a98131aa
121366a35629030
1365a472177137
142bd198445bb6
1515076365a8dc
hexa81a995b6e4

11552012220132 has 36 divisors (see below), whose sum is σ = 30918620943756. Its totient is φ = 3624160696320.

The previous prime is 11552012220121. The next prime is 11552012220137. The reversal of 11552012220132 is 23102221025511.

11552012220132 is a `hidden beast` number, since 1 + 1 + 5 + 520 + 1 + 2 + 2 + 2 + 0 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6880422779136 + 4671589440996 = 2623056^2 + 2161386^2 .

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 = 11552012220096 and 11552012220105.

It is not an unprimeable number, because it can be changed into a prime (11552012220137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9437917869 + ... + 9437919092.

It is an arithmetic number, because the mean of its divisors is an integer number (858850581771).

Almost surely, 211552012220132 is an apocalyptic number.

11552012220132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11552012220132 is an abundant number, since it is smaller than the sum of its proper divisors (19366608723624).

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

11552012220132 is a wasteful number, since it uses less digits than its factorization.

11552012220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18875836988 (or 18875836983 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11552012220132 its reverse (23102221025511), we get a palindrome (34654233245643).

The spelling of 11552012220132 in words is "eleven trillion, five hundred fifty-two billion, twelve million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 18875836961 37751673922 56627510883 75503347844 113255021766 169882532649 226510043532 320889228337 339765065298 641778456674 679530130596 962667685011 1283556913348 1925335370022 2888003055033 3850670740044 5776006110066 11552012220132