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201212102221 = 13172892131481
BaseRepresentation
bin1011101101100100101…
…1010000011001001101
3201020100211001212011021
42323121023100121031
511244040244232341
6232234025354141
720352136435504
oct2733113203115
9636324055137
10201212102221
1178373a93579
1232bb5638951
1315c88490020
149a4b08183b
155379aa09d1
hex2ed92d064d

201212102221 has 16 divisors (see below), whose sum is σ = 229451645808. Its totient is φ = 174797107200.

The previous prime is 201212102207. The next prime is 201212102239. The reversal of 201212102221 is 122201212102.

It is a happy number.

201212102221 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 7290768996 + 193921333225 = 85386^2 + 440365^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201212102221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201212102195 and 201212102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212102251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6375801 + ... + 6407281.

It is an arithmetic number, because the mean of its divisors is an integer number (14340727863).

Almost surely, 2201212102221 is an apocalyptic number.

It is an amenable number.

201212102221 is a deficient number, since it is larger than the sum of its proper divisors (28239543587).

201212102221 is a wasteful number, since it uses less digits than its factorization.

201212102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60432.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201212102221 its reverse (122201212102), we get a palindrome (323413314323).

The spelling of 201212102221 in words is "two hundred one billion, two hundred twelve million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 13 17 221 28921 31481 375973 409253 491657 535177 6391541 6957301 910462001 11836006013 15477854017 201212102221