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11332020132 = 22321132785649
BaseRepresentation
bin10101000110111000…
…01110011110100100
31002020202012021020100
422203130032132210
5141201444121012
65112244304100
7550550403366
oct124334163644
932222167210
1011332020132
1148956a24a4
1222430a2030
1310b7956a74
1479701ad36
15464cc58dc
hex2a370e7a4

11332020132 has 36 divisors (see below), whose sum is σ = 28898333100. Its totient is φ = 3743910912.

The previous prime is 11332020097. The next prime is 11332020173. The reversal of 11332020132 is 23102023311.

11332020132 is a `hidden beast` number, since 113 + 320 + 201 + 32 = 666.

11332020132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5060330496 + 6271689636 = 71136^2 + 79194^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1388757 + ... + 1396892.

It is an arithmetic number, because the mean of its divisors is an integer number (802731475).

Almost surely, 211332020132 is an apocalyptic number.

11332020132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11332020132 is an abundant number, since it is smaller than the sum of its proper divisors (17566312968).

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

11332020132 is a wasteful number, since it uses less digits than its factorization.

11332020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785772 (or 2785767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11332020132 its reverse (23102023311), we get a palindrome (34434043443).

The spelling of 11332020132 in words is "eleven billion, three hundred thirty-two million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 2785649 5571298 8356947 11142596 16713894 25070841 33427788 50141682 100283364 314778337 629556674 944335011 1259113348 1888670022 2833005033 3777340044 5666010066 11332020132