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212212021201002 = 2334110129396143
BaseRepresentation
bin110000010000000101110110…
…001001000000100001101010
31000211101021022122000010112000
4300100011312021000201222
5210303340204411413002
62031200505013431430
762461545466651344
oct6020056611004152
91024337278003460
10212212021201002
1161687681680609
121b97414063b576
13915467a646404
143a5918c060294
1519801c599161c
hexc1017624086a

212212021201002 has 96 divisors (see below), whose sum is σ = 487914697025280. Its totient is φ = 68328744624000.

The previous prime is 212212021200989. The next prime is 212212021201021. The reversal of 212212021201002 is 200102120212212.

It is a happy number.

212212021201002 is a `hidden beast` number, since 21 + 221 + 202 + 120 + 100 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17886943 + ... + 27283085.

It is an arithmetic number, because the mean of its divisors is an integer number (5082444760680).

Almost surely, 2212212021201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212021201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243957348512640).

212212021201002 is an abundant number, since it is smaller than the sum of its proper divisors (275702675824278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212212021201002 is a wasteful number, since it uses less digits than its factorization.

212212021201002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396397 (or 9396290 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212212021201002 its reverse (200102120212212), we get a palindrome (412314141413214).

The spelling of 212212021201002 in words is "two hundred twelve trillion, two hundred twelve billion, twenty-one million, two hundred one thousand, two".

Divisors: 1 2 3 6 9 18 27 41 54 82 101 123 202 246 303 369 606 738 909 1107 1818 2214 2727 4141 5454 8282 10201 12423 20402 24846 30603 37269 61206 74538 91809 111807 183618 223614 275427 418241 550854 836482 1254723 2509446 3764169 7528338 9396143 11292507 18792286 22585014 28188429 56376858 84565287 169130574 253695861 385241863 507391722 770483726 949010443 1155725589 1898020886 2311451178 2847031329 3467176767 5694062658 6934353534 8541093987 10401530301 17082187974 20803060602 25623281961 38909428163 51246563922 77818856326 95850054743 116728284489 191700109486 233456568978 287550164229 350184853467 575100328458 700369706934 862650492687 1050554560401 1725300985374 2101109120802 2587951478061 3929852244463 5175902956122 7859704488926 11789556733389 23579113466778 35368670200167 70737340400334 106106010600501 212212021201002