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12101020211 = 72970185037
BaseRepresentation
bin10110100010100011…
…01110101000110011
31011020100012112000202
423101101232220303
5144240330121321
65320434505415
7605605655210
oct132121565063
934210175022
1012101020211
11514a78a655
12241873526b
1311ab0747b7
1482b1d6b07
154ac57770b
hex2d146ea33

12101020211 has 16 divisors (see below), whose sum is σ = 14327202240. Its totient is φ = 10000233600.

The previous prime is 12101020157. The next prime is 12101020213. The reversal of 12101020211 is 11202010121.

12101020211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12101020211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101020192 and 12101020201.

It is not an unprimeable number, because it can be changed into a prime (12101020213) 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, 99785 + ... + 184821.

It is an arithmetic number, because the mean of its divisors is an integer number (895450140).

Almost surely, 212101020211 is an apocalyptic number.

12101020211 is a deficient number, since it is larger than the sum of its proper divisors (2226182029).

12101020211 is an equidigital number, since it uses as much as digits as its factorization.

12101020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85774.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12101020211 its reverse (11202010121), we get a palindrome (23303030332).

The spelling of 12101020211 in words is "twelve billion, one hundred one million, twenty thousand, two hundred eleven".

Divisors: 1 7 29 203 701 4907 20329 85037 142303 595259 2466073 17262511 59610937 417276559 1728717173 12101020211