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201020002222212 = 223257738212532701
BaseRepresentation
bin101101101101001110011101…
…110100110100000010000100
3222100202022202120202122121100
4231231032131310310002010
5202322002431032102322
61551311151505020100
760225134023204305
oct5555163564640204
9870668676678540
10201020002222212
11590621167458a8
121a667034024630
13882214952c964
14378d5c47707ac
151838ed185edac
hexb6d39dd34084

201020002222212 has 72 divisors (see below), whose sum is σ = 509147958540312. Its totient is φ = 66873005568000.

The previous prime is 201020002222027. The next prime is 201020002222213. The reversal of 201020002222212 is 212222200020102.

201020002222212 is a `hidden beast` number, since 20 + 1 + 0 + 200 + 0 + 222 + 221 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 177080666951556 + 23939335270656 = 13307166^2 + 4892784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201020002222213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78103462 + ... + 80636162.

It is an arithmetic number, because the mean of its divisors is an integer number (7071499424171).

Almost surely, 2201020002222212 is an apocalyptic number.

It is an amenable number.

201020002222212 is an abundant number, since it is smaller than the sum of its proper divisors (308127956318100).

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

201020002222212 is a wasteful number, since it uses less digits than its factorization.

201020002222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537109 (or 2537104 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201020002222212 its reverse (212222200020102), we get a palindrome (413242202242314).

The spelling of 201020002222212 in words is "two hundred one trillion, twenty billion, two million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1731 2308 3462 3821 5193 6924 7642 10386 11463 15284 20772 22926 34389 45852 68778 137556 2204717 2532701 4409434 5065402 6614151 7598103 8818868 10130804 13228302 15196206 19842453 22794309 26456604 30392412 39684906 45588618 79369812 91177236 1461368477 2922736954 4384105431 5845473908 8768210862 9677450521 13152316293 17536421724 19354901042 26304632586 29032351563 38709802084 52609265172 58064703126 87097054689 116129406252 174194109378 348388218756 5583888950617 11167777901234 16751666851851 22335555802468 33503333703702 50255000555553 67006667407404 100510001111106 201020002222212