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12033220031144 = 2313115704038761
BaseRepresentation
bin1010111100011011001111…
…0011100011001010101000
31120121100211210102112111022
42233012303303203022220
53034123013311444034
641331552430352012
72351241260430164
oct257066363431250
946540753375438
1012033220031144
11391a2950029a4
12142415105b608
1369395cc17b50
142d85a7947ca4
1515d0295a2b2e
hexaf1b3ce32a8

12033220031144 has 16 divisors (see below), whose sum is σ = 24297848140020. Its totient is φ = 5553793860480.

The previous prime is 12033220031141. The next prime is 12033220031153. The reversal of 12033220031144 is 44113002233021.

It can be written as a sum of positive squares in 2 ways, for example, as 11900002331044 + 133217700100 = 3449638^2 + 364990^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12033220031141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57852019277 + ... + 57852019484.

Almost surely, 212033220031144 is an apocalyptic number.

It is an amenable number.

12033220031144 is an abundant number, since it is smaller than the sum of its proper divisors (12264628108876).

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

12033220031144 is a wasteful number, since it uses less digits than its factorization.

12033220031144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115704038780 (or 115704038776 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12033220031144 its reverse (44113002233021), we get a palindrome (56146222264165).

The spelling of 12033220031144 in words is "twelve trillion, thirty-three billion, two hundred twenty million, thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 115704038761 231408077522 462816155044 925632310088 1504152503893 3008305007786 6016610015572 12033220031144