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210122343221012 = 225310115976144833
BaseRepresentation
bin101111110001101011101011…
…101000001000011100010100
31000112222111111101012212211122
4233301223223220020130110
5210020121024331033022
62022520512154223112
762154560355130505
oct5761535350103424
91015874441185748
10210122343221012
1160a51426963082
121b69714b724a98
1390325b4bca571
1439c5d93378bac
151945b6ea45742
hexbf1aeba08714

210122343221012 has 48 divisors (see below), whose sum is σ = 378598511086992. Its totient is φ = 101994379468800.

The previous prime is 210122343220981. The next prime is 210122343221039.

210122343221012 is nontrivially palindromic in base 10.

210122343221012 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 8 ways, for example, as 13275718939396 + 196846624281616 = 3643586^2 + 14030204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31122548 + ... + 37267380.

It is an arithmetic number, because the mean of its divisors is an integer number (7887468980979).

Almost surely, 2210122343221012 is an apocalyptic number.

It is an amenable number.

210122343221012 is a deficient number, since it is larger than the sum of its proper divisors (168476167865980).

210122343221012 is a wasteful number, since it uses less digits than its factorization.

210122343221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146588 (or 6146586 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 210122343221012 in words is "two hundred ten trillion, one hundred twenty-two billion, three hundred forty-three million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 4 53 101 106 202 212 404 1597 3194 5353 6388 10706 21412 84641 161297 169282 322594 338564 645188 6144833 8548741 12289666 17097482 24579332 34194964 325676149 620628133 651352298 1241256266 1302704596 2482512532 9813298301 19626596602 32893291049 39253193204 65786582098 131573164196 520104809953 991143128401 1040209619906 1982286256802 2080419239812 3964572513604 52530585805253 105061171610506 210122343221012