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11133300132 = 22322331327289
BaseRepresentation
bin10100101111001100…
…01010110110100100
31001201220021020122100
422113212022312210
5140300111101012
65040425132100
7542615326653
oct122746126644
931656236570
1011133300132
1147a3504199
1221a862a030
13108572a276
1477888d19a
154526208dc
hex29798ada4

11133300132 has 36 divisors (see below), whose sum is σ = 28263313260. Its totient is φ = 3695169792.

The previous prime is 11133300127. The next prime is 11133300161. The reversal of 11133300132 is 23100333111.

It is a happy number.

11133300132 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 1112489316 + 10020810816 = 33354^2 + 100104^2 .

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, 655257 + ... + 672032.

It is an arithmetic number, because the mean of its divisors is an integer number (785092035).

Almost surely, 211133300132 is an apocalyptic number.

11133300132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11133300132 is an abundant number, since it is smaller than the sum of its proper divisors (17130013128).

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

11133300132 is a wasteful number, since it uses less digits than its factorization.

11133300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327532 (or 1327527 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11133300132 its reverse (23100333111), we get a palindrome (34233633243).

The spelling of 11133300132 in words is "eleven billion, one hundred thirty-three million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 1327289 2654578 3981867 5309156 7963734 11945601 15927468 23891202 47782404 309258337 618516674 927775011 1237033348 1855550022 2783325033 3711100044 5566650066 11133300132