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11232300132 = 223446497457
BaseRepresentation
bin10100111010111111…
…10100110001100100
31001222210112222010000
422131133310301210
5141000432101012
65054323101300
7545226655464
oct123537646144
931883488100
1011232300132
114844382379
122215811830
1310a00b0851
14787a9dba4
1545b178ddc
hex29d7f4c64

11232300132 has 60 divisors (see below), whose sum is σ = 29373705900. Its totient is φ = 3742792704.

The previous prime is 11232300113. The next prime is 11232300143. The reversal of 11232300132 is 23100323211.

11232300132 is a `hidden beast` number, since 1 + 1 + 232 + 300 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7980563556 + 3251736576 = 89334^2 + 57024^2 .

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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1502548 + ... + 1510004.

It is an arithmetic number, because the mean of its divisors is an integer number (489561765).

Almost surely, 211232300132 is an apocalyptic number.

11232300132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11232300132 is an abundant number, since it is smaller than the sum of its proper divisors (18141405768).

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

11232300132 is a wasteful number, since it uses less digits than its factorization.

11232300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122 (or 12111 counting only the distinct ones).

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

Adding to 11232300132 its reverse (23100323211), we get a palindrome (34332623343).

It can be divided in two parts, 11232 and 300132, that added together give a square (311364 = 5582).

The spelling of 11232300132 in words is "eleven billion, two hundred thirty-two million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 4649 7457 9298 13947 14914 18596 22371 27894 29828 41841 44742 55788 67113 83682 89484 125523 134226 167364 201339 251046 268452 376569 402678 502092 604017 753138 805356 1208034 1506276 2416068 34667593 69335186 104002779 138670372 208005558 312008337 416011116 624016674 936025011 1248033348 1872050022 2808075033 3744100044 5616150066 11232300132