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12006210033 = 3217119365777
BaseRepresentation
bin10110010111010000…
…00011100111110001
31010222201210122220200
423023220003213301
5144042042210113
65303210425413
7603345046536
oct131350034761
933881718820
1012006210033
115101213334
1223b0a32269
13119452a2bc
1481c796d8d
154a409a873
hex2cba039f1

12006210033 has 24 divisors (see below), whose sum is σ = 18378110088. Its totient is φ = 7526879232.

The previous prime is 12006210023. The next prime is 12006210037. The reversal of 12006210033 is 33001260021.

12006210033 is a `hidden beast` number, since 12 + 0 + 0 + 621 + 0 + 0 + 33 = 666.

12006210033 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 4130889984 + 7875320049 = 64272^2 + 88743^2 .

It is not a de Polignac number, because 12006210033 - 25 = 12006210001 is a prime.

It is a super-2 number, since 2×120062100332 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12006209988 and 12006210015.

It is not an unprimeable number, because it can be changed into a prime (12006210037) 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 23 ways as a sum of consecutive naturals, for example, 149641 + ... + 215417.

It is an arithmetic number, because the mean of its divisors is an integer number (765754587).

Almost surely, 212006210033 is an apocalyptic number.

It is an amenable number.

12006210033 is a deficient number, since it is larger than the sum of its proper divisors (6371900055).

12006210033 is a wasteful number, since it uses less digits than its factorization.

12006210033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66993 (or 66990 counting only the distinct ones).

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

Adding to 12006210033 its reverse (33001260021), we get a palindrome (45007470054).

The spelling of 12006210033 in words is "twelve billion, six million, two hundred ten thousand, thirty-three".

Divisors: 1 3 9 17 51 153 1193 3579 10737 20281 60843 65777 182529 197331 591993 1118209 3354627 10063881 78471961 235415883 706247649 1334023337 4002070011 12006210033