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11022133032 = 2332153085181
BaseRepresentation
bin10100100001111100…
…00110011100101000
31001110011002101001100
422100332012130220
5140033131224112
65021414321400
7540065404431
oct122076063450
931404071040
1011022133032
114746785759
122177359260
1310686a6911
14767bd2488
154479b22dc
hex290f86728

11022133032 has 24 divisors (see below), whose sum is σ = 29851610490. Its totient is φ = 3674044320.

The previous prime is 11022132991. The next prime is 11022133051. The reversal of 11022133032 is 23033122011.

11022133032 is a `hidden beast` number, since 110 + 221 + 330 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8131350276 + 2890782756 = 90174^2 + 53766^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 11022132996 and 11022133014.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76542519 + ... + 76542662.

Almost surely, 211022133032 is an apocalyptic number.

11022133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11022133032 is an abundant number, since it is smaller than the sum of its proper divisors (18829477458).

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

11022133032 is a wasteful number, since it uses less digits than its factorization.

11022133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153085193 (or 153085186 counting only the distinct ones).

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

Adding to 11022133032 its reverse (23033122011), we get a palindrome (34055255043).

The spelling of 11022133032 in words is "eleven billion, twenty-two million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 153085181 306170362 459255543 612340724 918511086 1224681448 1377766629 1837022172 2755533258 3674044344 5511066516 11022133032