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212001022010011 = 13210944945756087
BaseRepresentation
bin110000001101000001010101…
…100110111110001010011011
31000210122002200201210122112111
4300031001111212332022123
5210241411043113310021
62030515531444453151
762440365646301203
oct6015012546761233
91023562621718474
10212001022010011
1161606146084423
121b93b2753aa1b7
13913a7c2623c00
143a4cc9323d403
151979976a8c8e1
hexc0d0559be29b

212001022010011 has 48 divisors (see below), whose sum is σ = 232697501784000. Its totient is φ = 193039275147264.

The previous prime is 212001022009999. The next prime is 212001022010083. The reversal of 212001022010011 is 110010220100212.

It is not a de Polignac number, because 212001022010011 - 29 = 212001022009499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212001022009973 and 212001022010000.

It is not an unprimeable number, because it can be changed into a prime (212001022040011) 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 47 ways as a sum of consecutive naturals, for example, 3779832210 + ... + 3779888296.

It is an arithmetic number, because the mean of its divisors is an integer number (4847864620500).

Almost surely, 2212001022010011 is an apocalyptic number.

212001022010011 is a deficient number, since it is larger than the sum of its proper divisors (20696479773989).

212001022010011 is a wasteful number, since it uses less digits than its factorization.

212001022010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57128 (or 57115 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212001022010011 its reverse (110010220100212), we get a palindrome (322011242110223).

The spelling of 212001022010011 in words is "two hundred twelve trillion, one billion, twenty-two million, ten thousand, eleven".

Divisors: 1 13 109 169 449 457 1417 5837 5941 18421 48941 49813 56087 75881 77233 205193 636233 647569 729131 2667509 6113483 8271029 8418397 9478703 22366037 25183063 25631759 34677617 79475279 290758481 327379819 333212867 1033178627 2744953867 2793861731 3779860253 4255937647 4331767271 11508659791 35684400271 36320202503 149612577283 463897203523 472162632539 1254443917219 1944963504679 16307770923847 212001022010011