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212201144010 = 2345534942957
BaseRepresentation
bin1100010110100000101…
…1000111111011001010
3202021201122220000120000
43011220023013323022
511434041443102020
6241252302543430
721221353651302
oct3055013077312
9667648800500
10212201144010
1181aa3017299
1235161897b76
131701a04b90b
14a3b06dc602
1557be6c8090
hex31682c7eca

212201144010 has 80 divisors (see below), whose sum is σ = 581351176296. Its totient is φ = 55519281792.

The previous prime is 212201144003. The next prime is 212201144021. The reversal of 212201144010 is 10441102212.

212201144010 is a `hidden beast` number, since 2 + 1 + 220 + 1 + 1 + 440 + 1 + 0 = 666.

212201144010 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 4 ways, for example, as 132932430801 + 79268713209 = 364599^2 + 281547^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2428549 + ... + 2514408.

Almost surely, 2212201144010 is an apocalyptic number.

212201144010 is an abundant number, since it is smaller than the sum of its proper divisors (369150032286).

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

212201144010 is a wasteful number, since it uses less digits than its factorization.

212201144010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943029 (or 4943020 counting only the distinct ones).

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

Adding to 212201144010 its reverse (10441102212), we get a palindrome (222642246222).

The spelling of 212201144010 in words is "two hundred twelve billion, two hundred one million, one hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1431 1590 2385 2862 4293 4770 7155 8586 14310 21465 42930 4942957 9885914 14828871 24714785 29657742 44486613 49429570 74144355 88973226 133459839 148288710 222433065 261976721 266919678 400379517 444866130 523953442 667299195 785930163 800759034 1309883605 1334598390 1571860326 2001897585 2357790489 2619767210 3929650815 4003795170 4715580978 7073371467 7859301630 11788952445 14146742934 21220114401 23577904890 35366857335 42440228802 70733714670 106100572005 212201144010