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12133442001 = 389147130893
BaseRepresentation
bin10110100110011010…
…11010000111010001
31011022121012201100210
423103031122013101
5144322130121001
65323553434333
7606451361322
oct132315320721
934277181323
1012133442001
11516701461a
12242756b9a9
1311b49b6ba5
14831636449
154b032ddd6
hex2d335a1d1

12133442001 has 16 divisors (see below), whose sum is σ = 16371348480. Its totient is φ = 7992378240.

The previous prime is 12133441997. The next prime is 12133442003. The reversal of 12133442001 is 10024433121.

12133442001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12133442001 - 22 = 12133441997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12133442003) 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 15 ways as a sum of consecutive naturals, for example, 377311 + ... + 408203.

It is an arithmetic number, because the mean of its divisors is an integer number (1023209280).

Almost surely, 212133442001 is an apocalyptic number.

It is an amenable number.

12133442001 is a deficient number, since it is larger than the sum of its proper divisors (4237906479).

12133442001 is a wasteful number, since it uses less digits than its factorization.

12133442001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32456.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12133442001 its reverse (10024433121), we get a palindrome (22157875122).

The spelling of 12133442001 in words is "twelve billion, one hundred thirty-three million, four hundred forty-two thousand, one".

Divisors: 1 3 89 267 1471 4413 30893 92679 130919 392757 2749477 8248431 45443603 136330809 4044480667 12133442001