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201020102212212 = 2232172291434341569
BaseRepresentation
bin101101101101001110100011…
…110010001111101001110100
3222100202100000112220200002200
4231231032203302033221310
5202322003132131242322
61551311205440104500
760225136346125323
oct5555164362175164
9870670015820080
10201020102212212
115906216812a868
121a667061605130
13882216416ba3a
14378d5d3b5c0ba
151838eda5118ac
hexb6d3a3c8fa74

201020102212212 has 72 divisors (see below), whose sum is σ = 540373843081800. Its totient is φ = 62789736480768.

The previous prime is 201020102212199. The next prime is 201020102212213. The reversal of 201020102212212 is 212212201020102.

It is a happy number.

201020102212212 is a `hidden beast` number, since 20 + 1 + 0 + 201 + 0 + 221 + 221 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96062658936336 + 104957443275876 = 9801156^2 + 10244874^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020102212213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717030637 + ... + 717310932.

It is an arithmetic number, because the mean of its divisors is an integer number (7505192265025).

Almost surely, 2201020102212212 is an apocalyptic number.

It is an amenable number.

201020102212212 is an abundant number, since it is smaller than the sum of its proper divisors (339353740869588).

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

201020102212212 is a wasteful number, since it uses less digits than its factorization.

201020102212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434341825 (or 1434341820 counting only the distinct ones).

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

Adding to 201020102212212 its reverse (212212201020102), we get a palindrome (413232303232314).

It can be divided in two parts, 201020102 and 212212, that multiplied together give a palindrome (42658877885624).

The spelling of 201020102212212 in words is "two hundred one trillion, twenty billion, one hundred two million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 229 306 458 612 687 916 1374 2061 2748 3893 4122 7786 8244 11679 15572 23358 35037 46716 70074 140148 1434341569 2868683138 4303024707 5737366276 8606049414 12909074121 17212098828 24383806673 25818148242 48767613346 51636296484 73151420019 97535226692 146302840038 219454260057 292605680076 328464219301 438908520114 656928438602 877817040228 985392657903 1313856877204 1970785315806 2956177973709 3941570631612 5583891728117 5912355947418 11167783456234 11824711894836 16751675184351 22335566912468 33503350368702 50255025553053 67006700737404 100510051106106 201020102212212