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12133320104 = 2317531683313
BaseRepresentation
bin10110100110011001…
…11100010110101000
31011022120222112011002
423103030330112220
5144322112220404
65323551054132
7606450343043
oct132314742650
934276875132
1012133320104
115166a40a84
122427511348
1311b4973569
14831603c5a
154b0307c1e
hex2d333c5a8

12133320104 has 32 divisors (see below), whose sum is σ = 24542718120. Its totient is φ = 5602062336.

The previous prime is 12133320103. The next prime is 12133320119. The reversal of 12133320104 is 40102333121.

12133320104 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 4 ways, for example, as 12005584900 + 127735204 = 109570^2 + 11302^2 .

It is a super-2 number, since 2×121333201042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12133320103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 834449 + ... + 848864.

Almost surely, 212133320104 is an apocalyptic number.

It is an amenable number.

12133320104 is an abundant number, since it is smaller than the sum of its proper divisors (12409398016).

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

12133320104 is a wasteful number, since it uses less digits than its factorization.

12133320104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683389 (or 1683385 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12133320104 its reverse (40102333121), we get a palindrome (52235653225).

The spelling of 12133320104 in words is "twelve billion, one hundred thirty-three million, three hundred twenty thousand, one hundred four".

Divisors: 1 2 4 8 17 34 53 68 106 136 212 424 901 1802 3604 7208 1683313 3366626 6733252 13466504 28616321 57232642 89215589 114465284 178431178 228930568 356862356 713724712 1516665013 3033330026 6066660052 12133320104