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12002000211 = 327481178259
BaseRepresentation
bin10110010110101111…
…11111110101010011
31010222102212210010100
423023113333311103
5144040003001321
65302540303443
7603264214155
oct131327776523
933872783110
1012002000211
1150a98a8443
1223ab541b83
1311936b5096
1481bdbcad5
154a3a18326
hex2cb5ffd53

12002000211 has 12 divisors (see below), whose sum is σ = 17338637160. Its totient is φ = 8000219040.

The previous prime is 12002000203. The next prime is 12002000239. The reversal of 12002000211 is 11200020021.

It is not a de Polignac number, because 12002000211 - 23 = 12002000203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12002000193 and 12002000202.

It is not an unprimeable number, because it can be changed into a prime (12002000261) 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 11 ways as a sum of consecutive naturals, for example, 21801 + ... + 156458.

It is an arithmetic number, because the mean of its divisors is an integer number (1444886430).

Almost surely, 212002000211 is an apocalyptic number.

12002000211 is a deficient number, since it is larger than the sum of its proper divisors (5336636949).

12002000211 is a wasteful number, since it uses less digits than its factorization.

12002000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185746 (or 185743 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12002000211 its reverse (11200020021), we get a palindrome (23202020232).

The spelling of 12002000211 in words is "twelve billion, two million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 7481 22443 67329 178259 534777 1604331 1333555579 4000666737 12002000211