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12133010322 = 232674056129
BaseRepresentation
bin10110100110010111…
…10000101110010010
31011022120101210012200
423103023300232102
5144322022312242
65323540304030
7606444612636
oct132313605622
934276353180
1012133010322
11516684a264
1224273a2016
1311b4895564
14831562dc6
154b029604c
hex2d32f0b92

12133010322 has 12 divisors (see below), whose sum is σ = 26288189070. Its totient is φ = 4044336768.

The previous prime is 12133010317. The next prime is 12133010341. The reversal of 12133010322 is 22301033121.

12133010322 is a `hidden beast` number, since 1 + 2 + 1 + 330 + 10 + 322 = 666.

12133010322 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 only one way, i.e., 12007995561 + 125014761 = 109581^2 + 11181^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 674056129 = 12133010322 / (1 + 2 + 1 + 3 + 3 + 0 + 1 + 0 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 12133010295 and 12133010304.

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 5 ways as a sum of consecutive naturals, for example, 337028047 + ... + 337028082.

Almost surely, 212133010322 is an apocalyptic number.

12133010322 is an abundant number, since it is smaller than the sum of its proper divisors (14155178748).

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

12133010322 is a wasteful number, since it uses less digits than its factorization.

12133010322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674056137 (or 674056134 counting only the distinct ones).

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

Adding to 12133010322 its reverse (22301033121), we get a palindrome (34434043443).

The spelling of 12133010322 in words is "twelve billion, one hundred thirty-three million, ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 674056129 1348112258 2022168387 4044336774 6066505161 12133010322